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Finding the Fourth Proportional to 321.46, 443.72 and 205.09

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Solution

The fourth proportional to 321.46, 443.72 and 205.09 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.46 : 443.72 = 205.09 : x
  2. Step 2: Convert to fraction form
    321.46/443.72 = 205.09/x
  3. Step 3: Cross multiply
    321.46x = 443.72 × 205.09
  4. Step 4: Simplify right side
    321.46x = 91,002.53
  5. Step 5: Solve for x
    x = 91,002.53/321.46
  6. Step 6: Final answer
    x = 283.09

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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.