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Finding the Fourth Proportional to 344.39, 516.07 and 271.43

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Solution

The fourth proportional to 344.39, 516.07 and 271.43 is: 406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.39 : 516.07 = 271.43 : x
  2. Step 2: Convert to fraction form
    344.39/516.07 = 271.43/x
  3. Step 3: Cross multiply
    344.39x = 516.07 × 271.43
  4. Step 4: Simplify right side
    344.39x = 140,079.48
  5. Step 5: Solve for x
    x = 140,079.48/344.39
  6. Step 6: Final answer
    x = 406.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.