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Finding the Fourth Proportional to 500.29, 688.92 and 489.51

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Solution

The fourth proportional to 500.29, 688.92 and 489.51 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.29 : 688.92 = 489.51 : x
  2. Step 2: Convert to fraction form
    500.29/688.92 = 489.51/x
  3. Step 3: Cross multiply
    500.29x = 688.92 × 489.51
  4. Step 4: Simplify right side
    500.29x = 337,234.15
  5. Step 5: Solve for x
    x = 337,234.15/500.29
  6. Step 6: Final answer
    x = 674.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.