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Finding the Fourth Proportional to 322.84, 445.72 and 249.04

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Solution

The fourth proportional to 322.84, 445.72 and 249.04 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 445.72 = 249.04 : x
  2. Step 2: Convert to fraction form
    322.84/445.72 = 249.04/x
  3. Step 3: Cross multiply
    322.84x = 445.72 × 249.04
  4. Step 4: Simplify right side
    322.84x = 111,002.11
  5. Step 5: Solve for x
    x = 111,002.11/322.84
  6. Step 6: Final answer
    x = 343.83

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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.