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Finding the Fourth Proportional to 322.12, 443.46 and 272.92

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Solution

The fourth proportional to 322.12, 443.46 and 272.92 is: 375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 443.46 = 272.92 : x
  2. Step 2: Convert to fraction form
    322.12/443.46 = 272.92/x
  3. Step 3: Cross multiply
    322.12x = 443.46 × 272.92
  4. Step 4: Simplify right side
    322.12x = 121,029.10
  5. Step 5: Solve for x
    x = 121,029.10/322.12
  6. Step 6: Final answer
    x = 375.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.