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Finding the Fourth Proportional to 502.49, 693.17 and 467.28

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Solution

The fourth proportional to 502.49, 693.17 and 467.28 is: 644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.49 : 693.17 = 467.28 : x
  2. Step 2: Convert to fraction form
    502.49/693.17 = 467.28/x
  3. Step 3: Cross multiply
    502.49x = 693.17 × 467.28
  4. Step 4: Simplify right side
    502.49x = 323,902.14
  5. Step 5: Solve for x
    x = 323,902.14/502.49
  6. Step 6: Final answer
    x = 644.60

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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.