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Finding the Fourth Proportional to 417.69, 576.82 and 270.61

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Solution

The fourth proportional to 417.69, 576.82 and 270.61 is: 373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 576.82 = 270.61 : x
  2. Step 2: Convert to fraction form
    417.69/576.82 = 270.61/x
  3. Step 3: Cross multiply
    417.69x = 576.82 × 270.61
  4. Step 4: Simplify right side
    417.69x = 156,092.16
  5. Step 5: Solve for x
    x = 156,092.16/417.69
  6. Step 6: Final answer
    x = 373.70

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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.