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Finding the Fourth Proportional to 574.08, 861.11 and 141.24

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Solution

The fourth proportional to 574.08, 861.11 and 141.24 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 861.11 = 141.24 : x
  2. Step 2: Convert to fraction form
    574.08/861.11 = 141.24/x
  3. Step 3: Cross multiply
    574.08x = 861.11 × 141.24
  4. Step 4: Simplify right side
    574.08x = 121,623.18
  5. Step 5: Solve for x
    x = 121,623.18/574.08
  6. Step 6: Final answer
    x = 211.86

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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.