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Finding the Fourth Proportional to 508.86, 763.35 and 372.78

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Solution

The fourth proportional to 508.86, 763.35 and 372.78 is: 559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 763.35 = 372.78 : x
  2. Step 2: Convert to fraction form
    508.86/763.35 = 372.78/x
  3. Step 3: Cross multiply
    508.86x = 763.35 × 372.78
  4. Step 4: Simplify right side
    508.86x = 284,561.61
  5. Step 5: Solve for x
    x = 284,561.61/508.86
  6. Step 6: Final answer
    x = 559.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.