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Finding the Fourth Proportional to 516.08, 712.08 and 306.14

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Solution

The fourth proportional to 516.08, 712.08 and 306.14 is: 422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 712.08 = 306.14 : x
  2. Step 2: Convert to fraction form
    516.08/712.08 = 306.14/x
  3. Step 3: Cross multiply
    516.08x = 712.08 × 306.14
  4. Step 4: Simplify right side
    516.08x = 217,996.17
  5. Step 5: Solve for x
    x = 217,996.17/516.08
  6. Step 6: Final answer
    x = 422.41

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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.