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Finding the Fourth Proportional to 574.38, 861.12 and 265.77

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Solution

The fourth proportional to 574.38, 861.12 and 265.77 is: 398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.38 : 861.12 = 265.77 : x
  2. Step 2: Convert to fraction form
    574.38/861.12 = 265.77/x
  3. Step 3: Cross multiply
    574.38x = 861.12 × 265.77
  4. Step 4: Simplify right side
    574.38x = 228,859.86
  5. Step 5: Solve for x
    x = 228,859.86/574.38
  6. Step 6: Final answer
    x = 398.45

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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.