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Finding the Fourth Proportional to 516.52, 712.14 and 376.52

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Solution

The fourth proportional to 516.52, 712.14 and 376.52 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 712.14 = 376.52 : x
  2. Step 2: Convert to fraction form
    516.52/712.14 = 376.52/x
  3. Step 3: Cross multiply
    516.52x = 712.14 × 376.52
  4. Step 4: Simplify right side
    516.52x = 268,134.95
  5. Step 5: Solve for x
    x = 268,134.95/516.52
  6. Step 6: Final answer
    x = 519.12

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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.