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Finding the Fourth Proportional to 516, 712.11 and 306.13

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Solution

The fourth proportional to 516, 712.11 and 306.13 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 712.11 = 306.13 : x
  2. Step 2: Convert to fraction form
    516/712.11 = 306.13/x
  3. Step 3: Cross multiply
    516x = 712.11 × 306.13
  4. Step 4: Simplify right side
    516x = 217,996.70
  5. Step 5: Solve for x
    x = 217,996.70/516
  6. Step 6: Final answer
    x = 422.47

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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.