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Finding the Fourth Proportional to 502.31, 693.18 and 292.59

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Solution

The fourth proportional to 502.31, 693.18 and 292.59 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.31 : 693.18 = 292.59 : x
  2. Step 2: Convert to fraction form
    502.31/693.18 = 292.59/x
  3. Step 3: Cross multiply
    502.31x = 693.18 × 292.59
  4. Step 4: Simplify right side
    502.31x = 202,817.54
  5. Step 5: Solve for x
    x = 202,817.54/502.31
  6. Step 6: Final answer
    x = 403.77

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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.