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Finding the Fourth Proportional to 502.52, 693.63 and 292.80

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Solution

The fourth proportional to 502.52, 693.63 and 292.80 is: 404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.52 : 693.63 = 292.80 : x
  2. Step 2: Convert to fraction form
    502.52/693.63 = 292.80/x
  3. Step 3: Cross multiply
    502.52x = 693.63 × 292.80
  4. Step 4: Simplify right side
    502.52x = 203,094.86
  5. Step 5: Solve for x
    x = 203,094.86/502.52
  6. Step 6: Final answer
    x = 404.15

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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.