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Finding the Fourth Proportional to 574.20, 861.69 and 378.78

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Solution

The fourth proportional to 574.20, 861.69 and 378.78 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 861.69 = 378.78 : x
  2. Step 2: Convert to fraction form
    574.20/861.69 = 378.78/x
  3. Step 3: Cross multiply
    574.20x = 861.69 × 378.78
  4. Step 4: Simplify right side
    574.20x = 326,390.94
  5. Step 5: Solve for x
    x = 326,390.94/574.20
  6. Step 6: Final answer
    x = 568.43

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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.