You can set the position of nodes with any Adjust Mode if you have the right conversion from screen coordinates for each mode. I recently went through this with Tomires, maybe what I wrote here can help you. (the second half of the post). I think I have my formulas backwards compared to yours—dividing and subtracting instead of multiplying and adding—but it should still give you the right idea. With the “Fit” and “Zoom” Adjust Modes, nodes maintain proportion, so you need a uniform scale factor. Then you’ll also have an offset in x or y based on the difference in proportion from your project width/height.
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