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Finding the Fourth Proportional to 321.92, 444.20 and 205.46

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Solution

The fourth proportional to 321.92, 444.20 and 205.46 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 444.20 = 205.46 : x
  2. Step 2: Convert to fraction form
    321.92/444.20 = 205.46/x
  3. Step 3: Cross multiply
    321.92x = 444.20 × 205.46
  4. Step 4: Simplify right side
    321.92x = 91,265.33
  5. Step 5: Solve for x
    x = 91,265.33/321.92
  6. Step 6: Final answer
    x = 283.50

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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.