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Finding the Fourth Proportional to 417.46, 576.05 and 240.42

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Solution

The fourth proportional to 417.46, 576.05 and 240.42 is: 331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 576.05 = 240.42 : x
  2. Step 2: Convert to fraction form
    417.46/576.05 = 240.42/x
  3. Step 3: Cross multiply
    417.46x = 576.05 × 240.42
  4. Step 4: Simplify right side
    417.46x = 138,493.94
  5. Step 5: Solve for x
    x = 138,493.94/417.46
  6. Step 6: Final answer
    x = 331.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.