Scrub the stain with a piece of super-fine steel wool. Scrub in small circular motions around the ring stain until the mark is gone and blends with the rest of the marble sink surface. If the stain remains, continue to the next step.
Add just enough water to 1 cup of baking soda to make a paste the consistency of peanut butter.
Wet the cultured marble and spread the paste over the ring stain. The paste should be ¼-inch thick to draw out the rest of the stain.
Cover the area with plastic wrap and let it sit for 24 hours.
Remove the baking soda. Repeat the process if you can still see it.
Rinse the sink with clear water and dry with a clean cloth.