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Finding the Fourth Proportional to 471.90, 649.68 and 372.13

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Solution

The fourth proportional to 471.90, 649.68 and 372.13 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 649.68 = 372.13 : x
  2. Step 2: Convert to fraction form
    471.90/649.68 = 372.13/x
  3. Step 3: Cross multiply
    471.90x = 649.68 × 372.13
  4. Step 4: Simplify right side
    471.90x = 241,767.04
  5. Step 5: Solve for x
    x = 241,767.04/471.90
  6. Step 6: Final answer
    x = 512.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.