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Finding the Fourth Proportional to 502.63, 693.56 and 292.87

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Solution

The fourth proportional to 502.63, 693.56 and 292.87 is: 404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 693.56 = 292.87 : x
  2. Step 2: Convert to fraction form
    502.63/693.56 = 292.87/x
  3. Step 3: Cross multiply
    502.63x = 693.56 × 292.87
  4. Step 4: Simplify right side
    502.63x = 203,124.52
  5. Step 5: Solve for x
    x = 203,124.52/502.63
  6. Step 6: Final answer
    x = 404.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.