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Finding the Fourth Proportional to 323.82, 446.72 and 205.76

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Solution

The fourth proportional to 323.82, 446.72 and 205.76 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 446.72 = 205.76 : x
  2. Step 2: Convert to fraction form
    323.82/446.72 = 205.76/x
  3. Step 3: Cross multiply
    323.82x = 446.72 × 205.76
  4. Step 4: Simplify right side
    323.82x = 91,917.11
  5. Step 5: Solve for x
    x = 91,917.11/323.82
  6. Step 6: Final answer
    x = 283.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.