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Finding the Fourth Proportional to 321.78, 443.97 and 205.41

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Solution

The fourth proportional to 321.78, 443.97 and 205.41 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.78 : 443.97 = 205.41 : x
  2. Step 2: Convert to fraction form
    321.78/443.97 = 205.41/x
  3. Step 3: Cross multiply
    321.78x = 443.97 × 205.41
  4. Step 4: Simplify right side
    321.78x = 91,195.88
  5. Step 5: Solve for x
    x = 91,195.88/321.78
  6. Step 6: Final answer
    x = 283.41

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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.