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Finding the Fourth Proportional to 502.38, 758.21 and 489.42

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Solution

The fourth proportional to 502.38, 758.21 and 489.42 is: 738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.38 : 758.21 = 489.42 : x
  2. Step 2: Convert to fraction form
    502.38/758.21 = 489.42/x
  3. Step 3: Cross multiply
    502.38x = 758.21 × 489.42
  4. Step 4: Simplify right side
    502.38x = 371,080.69
  5. Step 5: Solve for x
    x = 371,080.69/502.38
  6. Step 6: Final answer
    x = 738.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.