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Finding the Fourth Proportional to 502.80, 693.92 and 293

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Solution

The fourth proportional to 502.80, 693.92 and 293 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 693.92 = 293 : x
  2. Step 2: Convert to fraction form
    502.80/693.92 = 293/x
  3. Step 3: Cross multiply
    502.80x = 693.92 × 293
  4. Step 4: Simplify right side
    502.80x = 203,318.56
  5. Step 5: Solve for x
    x = 203,318.56/502.80
  6. Step 6: Final answer
    x = 404.37

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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.