Between-character kerning for justified lines

[Evan]

I use Corel Draw v11 and it does what you're looking for. I would think
Quark and InDesign would do this. I'm suprised they don't (if the
previous poster is correct on this).

In Corel 11, if you go to Format Text, the Paragraph tab, set alignment
to Full Justify, then click the Settings... button and you can set:

Max word spacing (300%)
Min word spacing (60%)
Max char spacing (200%)

I put the default values in paretheses.