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Finding the Fourth Proportional to 502.42, 693.16 and 397.52

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Solution

The fourth proportional to 502.42, 693.16 and 397.52 is: 548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.42 : 693.16 = 397.52 : x
  2. Step 2: Convert to fraction form
    502.42/693.16 = 397.52/x
  3. Step 3: Cross multiply
    502.42x = 693.16 × 397.52
  4. Step 4: Simplify right side
    502.42x = 275,545.70
  5. Step 5: Solve for x
    x = 275,545.70/502.42
  6. Step 6: Final answer
    x = 548.44

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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.