Converting a block and tackle balance to a spiral balance.

A quick learner from USA says:
June 14, 2018
Hello, I am hoping you can help with a window repair project.

I have a home with 8 vinyl windows (no manufacturer name I can find), all of which have broken (cheaply made!) balances.
The balances are spring loaded, and mostly plastic parts that deteriorated over their 15-year life.
The window sashes are 29? tall. I have included pics of the bottom of the sash, with the 'catch bolt?' that connects to the balance.
The balance channels are approx 1.25" wide, .75" deep, with a .75" opening that faces the sash.I would prefer to replace these with Spiral balances, as they seem more reliable. Is that an option?
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Paul from SWISCO responded:
June 18, 2018

Good question. From the information you provided, you may be able to use our S600-28 spiral balance with a red tip along with our 15-188 pivot shoe. I recommend you first look over our media guides to see if you would like to continue with the change over process. One last thing. If you could please let us know the length of your Arrow balance, that would greatly be appreciated. 
Pivot Lock Shoe, 1/2" Thick, Blue Break
Pivot Lock Shoe, 1/2" Thick, Blue Break
15-188
$3.70
Spiral Balance Charging Tool for Tilt Windows
Spiral Balance Charging Tool for Tilt Windows
75-006
$9.97
28" Series 600 Spiral Tilt Window Balance
28" Series 600 Spiral Tilt Window Balance
S600-28
$9.28
How to Remove a Pivot Shoe (Cutout Method)
How to Remove a Pivot Shoe (Cutout Method)
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How to remove window pivot shoes
How to remove window pivot shoes
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Anatomy of a tilt window
Anatomy of a tilt window
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How to replace a tilt window spiral balance.
How to replace a tilt window spiral balance.
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How to Identify a Replacement Spiral Balance
How to Identify a Replacement Spiral Balance
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How to adjust a spiral balance on a tilt window
How to adjust a spiral balance on a tilt window
GUIDE
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How to choose the proper spiral balance tip color
How to choose the proper spiral balance tip color
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