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Finding the Fourth Proportional to 555.97, 834.24 and 227.15

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Solution

The fourth proportional to 555.97, 834.24 and 227.15 is: 340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.97 : 834.24 = 227.15 : x
  2. Step 2: Convert to fraction form
    555.97/834.24 = 227.15/x
  3. Step 3: Cross multiply
    555.97x = 834.24 × 227.15
  4. Step 4: Simplify right side
    555.97x = 189,493.44
  5. Step 5: Solve for x
    x = 189,493.44/555.97
  6. Step 6: Final answer
    x = 340.84

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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.