place the structures blood will pass through when precapillary sphincters are relaxed.

Blood will follow this pathway when precapillary sphincters are relaxed: Artery → arteriole → metarteriole → capillaries (capillary bed) → thoroughfare channel → venule → vein.

This happens because relaxed precapillary sphincters open the entrances to the true capillaries, allowing blood to leave the metarteriole and perfuse the entire capillary bed before draining into the venules.