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Finding the Fourth Proportional to 502.48, 754.64 and 463.92

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Solution

The fourth proportional to 502.48, 754.64 and 463.92 is: 696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 754.64 = 463.92 : x
  2. Step 2: Convert to fraction form
    502.48/754.64 = 463.92/x
  3. Step 3: Cross multiply
    502.48x = 754.64 × 463.92
  4. Step 4: Simplify right side
    502.48x = 350,092.59
  5. Step 5: Solve for x
    x = 350,092.59/502.48
  6. Step 6: Final answer
    x = 696.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.