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Finding the Fourth Proportional to 321.42, 443.52 and 204.96

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Solution

The fourth proportional to 321.42, 443.52 and 204.96 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 443.52 = 204.96 : x
  2. Step 2: Convert to fraction form
    321.42/443.52 = 204.96/x
  3. Step 3: Cross multiply
    321.42x = 443.52 × 204.96
  4. Step 4: Simplify right side
    321.42x = 90,903.86
  5. Step 5: Solve for x
    x = 90,903.86/321.42
  6. Step 6: Final answer
    x = 282.82

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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.