To what volume should 58.3 ml of a 1.4 m kcl solution be diluted to produce a 0.45 m solution?

The key thing you need to understand here is that chemical reactions depend on reactant particles bumping into each other (collision theory).

The more concentrated a reactant is, the more likely it will be to bump into other reactants and product chemical change.

Here is video of a quick lab performed to test this. In the video, varying concentrations of #Na_2S_2O_3# are allowed to react with HCl. A timer is included in the video so you can see how the changing concentration changes the overall speed of the reaction!

video from: Noel Pauller

Hope this helps!