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Finding the Fourth Proportional to 574.12, 861.23 and 227.43

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Solution

The fourth proportional to 574.12, 861.23 and 227.43 is: 341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 861.23 = 227.43 : x
  2. Step 2: Convert to fraction form
    574.12/861.23 = 227.43/x
  3. Step 3: Cross multiply
    574.12x = 861.23 × 227.43
  4. Step 4: Simplify right side
    574.12x = 195,869.54
  5. Step 5: Solve for x
    x = 195,869.54/574.12
  6. Step 6: Final answer
    x = 341.16

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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.