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Finding the Fourth Proportional to 605.92, 834.72 and 489.28

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Solution

The fourth proportional to 605.92, 834.72 and 489.28 is: 674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 834.72 = 489.28 : x
  2. Step 2: Convert to fraction form
    605.92/834.72 = 489.28/x
  3. Step 3: Cross multiply
    605.92x = 834.72 × 489.28
  4. Step 4: Simplify right side
    605.92x = 408,411.80
  5. Step 5: Solve for x
    x = 408,411.80/605.92
  6. Step 6: Final answer
    x = 674.04

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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.