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Finding the Fourth Proportional to 417.66, 576.33 and 240.62

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Solution

The fourth proportional to 417.66, 576.33 and 240.62 is: 332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 576.33 = 240.62 : x
  2. Step 2: Convert to fraction form
    417.66/576.33 = 240.62/x
  3. Step 3: Cross multiply
    417.66x = 576.33 × 240.62
  4. Step 4: Simplify right side
    417.66x = 138,674.70
  5. Step 5: Solve for x
    x = 138,674.70/417.66
  6. Step 6: Final answer
    x = 332.03

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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.