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Finding the Fourth Proportional to 516.84, 713.25 and 280.80

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Solution

The fourth proportional to 516.84, 713.25 and 280.80 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 713.25 = 280.80 : x
  2. Step 2: Convert to fraction form
    516.84/713.25 = 280.80/x
  3. Step 3: Cross multiply
    516.84x = 713.25 × 280.80
  4. Step 4: Simplify right side
    516.84x = 200,280.60
  5. Step 5: Solve for x
    x = 200,280.60/516.84
  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.