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Finding the Fourth Proportional to 502.57, 750.04 and 489.61

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Solution

The fourth proportional to 502.57, 750.04 and 489.61 is: 730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.57 : 750.04 = 489.61 : x
  2. Step 2: Convert to fraction form
    502.57/750.04 = 489.61/x
  3. Step 3: Cross multiply
    502.57x = 750.04 × 489.61
  4. Step 4: Simplify right side
    502.57x = 367,227.08
  5. Step 5: Solve for x
    x = 367,227.08/502.57
  6. Step 6: Final answer
    x = 730.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.