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Finding the Fourth Proportional to 323.92, 446.85 and 205.70

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Solution

The fourth proportional to 323.92, 446.85 and 205.70 is: 283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 446.85 = 205.70 : x
  2. Step 2: Convert to fraction form
    323.92/446.85 = 205.70/x
  3. Step 3: Cross multiply
    323.92x = 446.85 × 205.70
  4. Step 4: Simplify right side
    323.92x = 91,917.05
  5. Step 5: Solve for x
    x = 91,917.05/323.92
  6. Step 6: Final answer
    x = 283.76

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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.