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Finding the Fourth Proportional to 516.52, 774.98 and 227.75

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Solution

The fourth proportional to 516.52, 774.98 and 227.75 is: 341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 774.98 = 227.75 : x
  2. Step 2: Convert to fraction form
    516.52/774.98 = 227.75/x
  3. Step 3: Cross multiply
    516.52x = 774.98 × 227.75
  4. Step 4: Simplify right side
    516.52x = 176,500.56
  5. Step 5: Solve for x
    x = 176,500.56/516.52
  6. Step 6: Final answer
    x = 341.71

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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.