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Finding the Fourth Proportional to 489.57, 733.78 and 272.71

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Solution

The fourth proportional to 489.57, 733.78 and 272.71 is: 408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.57 : 733.78 = 272.71 : x
  2. Step 2: Convert to fraction form
    489.57/733.78 = 272.71/x
  3. Step 3: Cross multiply
    489.57x = 733.78 × 272.71
  4. Step 4: Simplify right side
    489.57x = 200,109.14
  5. Step 5: Solve for x
    x = 200,109.14/489.57
  6. Step 6: Final answer
    x = 408.74

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