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Finding the Fourth Proportional to 517.48, 775.02 and 502.12

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Solution

The fourth proportional to 517.48, 775.02 and 502.12 is: 752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 775.02 = 502.12 : x
  2. Step 2: Convert to fraction form
    517.48/775.02 = 502.12/x
  3. Step 3: Cross multiply
    517.48x = 775.02 × 502.12
  4. Step 4: Simplify right side
    517.48x = 389,153.04
  5. Step 5: Solve for x
    x = 389,153.04/517.48
  6. Step 6: Final answer
    x = 752.02

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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.