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Finding the Fourth Proportional to 516.14, 712.15 and 306.33

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Solution

The fourth proportional to 516.14, 712.15 and 306.33 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 712.15 = 306.33 : x
  2. Step 2: Convert to fraction form
    516.14/712.15 = 306.33/x
  3. Step 3: Cross multiply
    516.14x = 712.15 × 306.33
  4. Step 4: Simplify right side
    516.14x = 218,152.91
  5. Step 5: Solve for x
    x = 218,152.91/516.14
  6. Step 6: Final answer
    x = 422.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.