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Finding the Fourth Proportional to 374.38, 516.31 and 243.25

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Solution

The fourth proportional to 374.38, 516.31 and 243.25 is: 335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.38 : 516.31 = 243.25 : x
  2. Step 2: Convert to fraction form
    374.38/516.31 = 243.25/x
  3. Step 3: Cross multiply
    374.38x = 516.31 × 243.25
  4. Step 4: Simplify right side
    374.38x = 125,592.41
  5. Step 5: Solve for x
    x = 125,592.41/374.38
  6. Step 6: Final answer
    x = 335.47

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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.