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Finding the Fourth Proportional to 516.91, 712.56 and 377.18

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Solution

The fourth proportional to 516.91, 712.56 and 377.18 is: 519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 712.56 = 377.18 : x
  2. Step 2: Convert to fraction form
    516.91/712.56 = 377.18/x
  3. Step 3: Cross multiply
    516.91x = 712.56 × 377.18
  4. Step 4: Simplify right side
    516.91x = 268,763.38
  5. Step 5: Solve for x
    x = 268,763.38/516.91
  6. Step 6: Final answer
    x = 519.95

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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.