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Finding the Fourth Proportional to 410.85, 614.97 and 227.79

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Solution

The fourth proportional to 410.85, 614.97 and 227.79 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.85 : 614.97 = 227.79 : x
  2. Step 2: Convert to fraction form
    410.85/614.97 = 227.79/x
  3. Step 3: Cross multiply
    410.85x = 614.97 × 227.79
  4. Step 4: Simplify right side
    410.85x = 140,084.02
  5. Step 5: Solve for x
    x = 140,084.02/410.85
  6. Step 6: Final answer
    x = 340.96

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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.