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Finding the Fourth Proportional to 502.82, 693.89 and 293.12

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Solution

The fourth proportional to 502.82, 693.89 and 293.12 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.82 : 693.89 = 293.12 : x
  2. Step 2: Convert to fraction form
    502.82/693.89 = 293.12/x
  3. Step 3: Cross multiply
    502.82x = 693.89 × 293.12
  4. Step 4: Simplify right side
    502.82x = 203,393.04
  5. Step 5: Solve for x
    x = 203,393.04/502.82
  6. Step 6: Final answer
    x = 404.50

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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.