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Finding the Fourth Proportional to 374.13, 516.06 and 249.78

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Solution

The fourth proportional to 374.13, 516.06 and 249.78 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 516.06 = 249.78 : x
  2. Step 2: Convert to fraction form
    374.13/516.06 = 249.78/x
  3. Step 3: Cross multiply
    374.13x = 516.06 × 249.78
  4. Step 4: Simplify right side
    374.13x = 128,901.47
  5. Step 5: Solve for x
    x = 128,901.47/374.13
  6. Step 6: Final answer
    x = 344.54

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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.