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Finding the Fourth Proportional to 516.27, 712.42 and 306.47

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Solution

The fourth proportional to 516.27, 712.42 and 306.47 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.27 : 712.42 = 306.47 : x
  2. Step 2: Convert to fraction form
    516.27/712.42 = 306.47/x
  3. Step 3: Cross multiply
    516.27x = 712.42 × 306.47
  4. Step 4: Simplify right side
    516.27x = 218,331.80
  5. Step 5: Solve for x
    x = 218,331.80/516.27
  6. Step 6: Final answer
    x = 422.90

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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.