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Finding the Fourth Proportional to 516.12, 712.25 and 306.29

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Solution

The fourth proportional to 516.12, 712.25 and 306.29 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.12 : 712.25 = 306.29 : x
  2. Step 2: Convert to fraction form
    516.12/712.25 = 306.29/x
  3. Step 3: Cross multiply
    516.12x = 712.25 × 306.29
  4. Step 4: Simplify right side
    516.12x = 218,149.96
  5. Step 5: Solve for x
    x = 218,149.96/516.12
  6. Step 6: Final answer
    x = 422.67

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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.