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Finding the Fourth Proportional to 516.86, 713.24 and 283.98

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Solution

The fourth proportional to 516.86, 713.24 and 283.98 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.24 = 283.98 : x
  2. Step 2: Convert to fraction form
    516.86/713.24 = 283.98/x
  3. Step 3: Cross multiply
    516.86x = 713.24 × 283.98
  4. Step 4: Simplify right side
    516.86x = 202,545.90
  5. Step 5: Solve for x
    x = 202,545.90/516.86
  6. Step 6: Final answer
    x = 391.88

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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.