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Finding the Fourth Proportional to 516.39, 712.04 and 376.26

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Solution

The fourth proportional to 516.39, 712.04 and 376.26 is: 518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.39 : 712.04 = 376.26 : x
  2. Step 2: Convert to fraction form
    516.39/712.04 = 376.26/x
  3. Step 3: Cross multiply
    516.39x = 712.04 × 376.26
  4. Step 4: Simplify right side
    516.39x = 267,910.29
  5. Step 5: Solve for x
    x = 267,910.29/516.39
  6. Step 6: Final answer
    x = 518.81

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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.