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Finding the Fourth Proportional to 516.86, 713.26 and 280.80

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Solution

The fourth proportional to 516.86, 713.26 and 280.80 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.26 = 280.80 : x
  2. Step 2: Convert to fraction form
    516.86/713.26 = 280.80/x
  3. Step 3: Cross multiply
    516.86x = 713.26 × 280.80
  4. Step 4: Simplify right side
    516.86x = 200,285.17
  5. Step 5: Solve for x
    x = 200,285.17/516.86
  6. Step 6: Final answer
    x = 387.51

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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.