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Finding the Fourth Proportional to 502.49, 693.47 and 292.76

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Solution

The fourth proportional to 502.49, 693.47 and 292.76 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.49 : 693.47 = 292.76 : x
  2. Step 2: Convert to fraction form
    502.49/693.47 = 292.76/x
  3. Step 3: Cross multiply
    502.49x = 693.47 × 292.76
  4. Step 4: Simplify right side
    502.49x = 203,015.35
  5. Step 5: Solve for x
    x = 203,015.35/502.49
  6. Step 6: Final answer
    x = 404.02

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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.