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Finding the Fourth Proportional to 502.86, 752.44 and 315.29

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Solution

The fourth proportional to 502.86, 752.44 and 315.29 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 752.44 = 315.29 : x
  2. Step 2: Convert to fraction form
    502.86/752.44 = 315.29/x
  3. Step 3: Cross multiply
    502.86x = 752.44 × 315.29
  4. Step 4: Simplify right side
    502.86x = 237,238.49
  5. Step 5: Solve for x
    x = 237,238.49/502.86
  6. Step 6: Final answer
    x = 471.78

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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.