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Finding the Fourth Proportional to 516.26, 773.87 and 191.36

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Solution

The fourth proportional to 516.26, 773.87 and 191.36 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 773.87 = 191.36 : x
  2. Step 2: Convert to fraction form
    516.26/773.87 = 191.36/x
  3. Step 3: Cross multiply
    516.26x = 773.87 × 191.36
  4. Step 4: Simplify right side
    516.26x = 148,082.94
  5. Step 5: Solve for x
    x = 148,082.94/516.26
  6. Step 6: Final answer
    x = 286.84

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