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Finding the Fourth Proportional to 410.67, 614.86 and 227.61

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Solution

The fourth proportional to 410.67, 614.86 and 227.61 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 614.86 = 227.61 : x
  2. Step 2: Convert to fraction form
    410.67/614.86 = 227.61/x
  3. Step 3: Cross multiply
    410.67x = 614.86 × 227.61
  4. Step 4: Simplify right side
    410.67x = 139,947.72
  5. Step 5: Solve for x
    x = 139,947.72/410.67
  6. Step 6: Final answer
    x = 340.78

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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.