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Finding the Fourth Proportional to 516.90, 713.31 and 280.85

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Solution

The fourth proportional to 516.90, 713.31 and 280.85 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 713.31 = 280.85 : x
  2. Step 2: Convert to fraction form
    516.90/713.31 = 280.85/x
  3. Step 3: Cross multiply
    516.90x = 713.31 × 280.85
  4. Step 4: Simplify right side
    516.90x = 200,329.55
  5. Step 5: Solve for x
    x = 200,329.55/516.90
  6. Step 6: Final answer
    x = 387.56

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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.