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Finding the Fourth Proportional to 417.74, 576.46 and 240.72

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Solution

The fourth proportional to 417.74, 576.46 and 240.72 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.74 : 576.46 = 240.72 : x
  2. Step 2: Convert to fraction form
    417.74/576.46 = 240.72/x
  3. Step 3: Cross multiply
    417.74x = 576.46 × 240.72
  4. Step 4: Simplify right side
    417.74x = 138,765.45
  5. Step 5: Solve for x
    x = 138,765.45/417.74
  6. Step 6: Final answer
    x = 332.18

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Why These Related Problems?

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