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Finding the Fourth Proportional to 502.64, 693.66 and 292.85

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Solution

The fourth proportional to 502.64, 693.66 and 292.85 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 693.66 = 292.85 : x
  2. Step 2: Convert to fraction form
    502.64/693.66 = 292.85/x
  3. Step 3: Cross multiply
    502.64x = 693.66 × 292.85
  4. Step 4: Simplify right side
    502.64x = 203,138.33
  5. Step 5: Solve for x
    x = 203,138.33/502.64
  6. Step 6: Final answer
    x = 404.14

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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.