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Finding the Fourth Proportional to 323.82, 484.89 and 226.04

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Solution

The fourth proportional to 323.82, 484.89 and 226.04 is: 338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 484.89 = 226.04 : x
  2. Step 2: Convert to fraction form
    323.82/484.89 = 226.04/x
  3. Step 3: Cross multiply
    323.82x = 484.89 × 226.04
  4. Step 4: Simplify right side
    323.82x = 109,604.54
  5. Step 5: Solve for x
    x = 109,604.54/323.82
  6. Step 6: Final answer
    x = 338.47

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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.