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Finding the Fourth Proportional to 516.39, 773.10 and 343.23

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Solution

The fourth proportional to 516.39, 773.10 and 343.23 is: 513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.39 : 773.10 = 343.23 : x
  2. Step 2: Convert to fraction form
    516.39/773.10 = 343.23/x
  3. Step 3: Cross multiply
    516.39x = 773.10 × 343.23
  4. Step 4: Simplify right side
    516.39x = 265,351.11
  5. Step 5: Solve for x
    x = 265,351.11/516.39
  6. Step 6: Final answer
    x = 513.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.