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Finding the Fourth Proportional to 516.38, 773.96 and 343.17

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Solution

The fourth proportional to 516.38, 773.96 and 343.17 is: 514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 773.96 = 343.17 : x
  2. Step 2: Convert to fraction form
    516.38/773.96 = 343.17/x
  3. Step 3: Cross multiply
    516.38x = 773.96 × 343.17
  4. Step 4: Simplify right side
    516.38x = 265,598.14
  5. Step 5: Solve for x
    x = 265,598.14/516.38
  6. Step 6: Final answer
    x = 514.35

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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.