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Finding the Fourth Proportional to 516.59, 712.59 and 376.52

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Solution

The fourth proportional to 516.59, 712.59 and 376.52 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.59 : 712.59 = 376.52 : x
  2. Step 2: Convert to fraction form
    516.59/712.59 = 376.52/x
  3. Step 3: Cross multiply
    516.59x = 712.59 × 376.52
  4. Step 4: Simplify right side
    516.59x = 268,304.39
  5. Step 5: Solve for x
    x = 268,304.39/516.59
  6. Step 6: Final answer
    x = 519.38

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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.