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Finding the Fourth Proportional to 574.36, 861.54 and 232.36

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Solution

The fourth proportional to 574.36, 861.54 and 232.36 is: 348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.36 : 861.54 = 232.36 : x
  2. Step 2: Convert to fraction form
    574.36/861.54 = 232.36/x
  3. Step 3: Cross multiply
    574.36x = 861.54 × 232.36
  4. Step 4: Simplify right side
    574.36x = 200,187.43
  5. Step 5: Solve for x
    x = 200,187.43/574.36
  6. Step 6: Final answer
    x = 348.54

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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.