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Finding the Fourth Proportional to 337.27, 465.17 and 271.66

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Solution

The fourth proportional to 337.27, 465.17 and 271.66 is: 374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.27 : 465.17 = 271.66 : x
  2. Step 2: Convert to fraction form
    337.27/465.17 = 271.66/x
  3. Step 3: Cross multiply
    337.27x = 465.17 × 271.66
  4. Step 4: Simplify right side
    337.27x = 126,368.08
  5. Step 5: Solve for x
    x = 126,368.08/337.27
  6. Step 6: Final answer
    x = 374.68

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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.