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Finding the Fourth Proportional to 516.15, 773.96 and 227.25

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Solution

The fourth proportional to 516.15, 773.96 and 227.25 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 773.96 = 227.25 : x
  2. Step 2: Convert to fraction form
    516.15/773.96 = 227.25/x
  3. Step 3: Cross multiply
    516.15x = 773.96 × 227.25
  4. Step 4: Simplify right side
    516.15x = 175,881.27
  5. Step 5: Solve for x
    x = 175,881.27/516.15
  6. Step 6: Final answer
    x = 340.76

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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.