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Finding the Fourth Proportional to 516.92, 713.33 and 280.86

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Solution

The fourth proportional to 516.92, 713.33 and 280.86 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 713.33 = 280.86 : x
  2. Step 2: Convert to fraction form
    516.92/713.33 = 280.86/x
  3. Step 3: Cross multiply
    516.92x = 713.33 × 280.86
  4. Step 4: Simplify right side
    516.92x = 200,342.84
  5. Step 5: Solve for x
    x = 200,342.84/516.92
  6. Step 6: Final answer
    x = 387.57

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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.