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Finding the Fourth Proportional to 374.17, 516.67 and 249.78

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Solution

The fourth proportional to 374.17, 516.67 and 249.78 is: 344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.17 : 516.67 = 249.78 : x
  2. Step 2: Convert to fraction form
    374.17/516.67 = 249.78/x
  3. Step 3: Cross multiply
    374.17x = 516.67 × 249.78
  4. Step 4: Simplify right side
    374.17x = 129,053.83
  5. Step 5: Solve for x
    x = 129,053.83/374.17
  6. Step 6: Final answer
    x = 344.91

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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.