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Finding the Fourth Proportional to 516.15, 774.65 and 227.79

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Solution

The fourth proportional to 516.15, 774.65 and 227.79 is: 341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 774.65 = 227.79 : x
  2. Step 2: Convert to fraction form
    516.15/774.65 = 227.79/x
  3. Step 3: Cross multiply
    516.15x = 774.65 × 227.79
  4. Step 4: Simplify right side
    516.15x = 176,456.38
  5. Step 5: Solve for x
    x = 176,456.38/516.15
  6. Step 6: Final answer
    x = 341.87

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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.