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Finding the Fourth Proportional to 373.91, 516.17 and 286.97

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Solution

The fourth proportional to 373.91, 516.17 and 286.97 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.91 : 516.17 = 286.97 : x
  2. Step 2: Convert to fraction form
    373.91/516.17 = 286.97/x
  3. Step 3: Cross multiply
    373.91x = 516.17 × 286.97
  4. Step 4: Simplify right side
    373.91x = 148,123.44
  5. Step 5: Solve for x
    x = 148,123.44/373.91
  6. Step 6: Final answer
    x = 396.15

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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.