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Finding the Fourth Proportional to 502.49, 693.43 and 292.57

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Solution

The fourth proportional to 502.49, 693.43 and 292.57 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.49 : 693.43 = 292.57 : x
  2. Step 2: Convert to fraction form
    502.49/693.43 = 292.57/x
  3. Step 3: Cross multiply
    502.49x = 693.43 × 292.57
  4. Step 4: Simplify right side
    502.49x = 202,874.35
  5. Step 5: Solve for x
    x = 202,874.35/502.49
  6. Step 6: Final answer
    x = 403.74

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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.