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Finding the Fourth Proportional to 516.29, 773.35 and 227.93

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Solution

The fourth proportional to 516.29, 773.35 and 227.93 is: 341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 773.35 = 227.93 : x
  2. Step 2: Convert to fraction form
    516.29/773.35 = 227.93/x
  3. Step 3: Cross multiply
    516.29x = 773.35 × 227.93
  4. Step 4: Simplify right side
    516.29x = 176,265.23
  5. Step 5: Solve for x
    x = 176,265.23/516.29
  6. Step 6: Final answer
    x = 341.41

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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.