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Finding the Fourth Proportional to 516.44, 774.38 and 174.44

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Solution

The fourth proportional to 516.44, 774.38 and 174.44 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 774.38 = 174.44 : x
  2. Step 2: Convert to fraction form
    516.44/774.38 = 174.44/x
  3. Step 3: Cross multiply
    516.44x = 774.38 × 174.44
  4. Step 4: Simplify right side
    516.44x = 135,082.85
  5. Step 5: Solve for x
    x = 135,082.85/516.44
  6. Step 6: Final answer
    x = 261.57

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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.