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Finding the Fourth Proportional to 322.62, 445.25 and 212.11

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Solution

The fourth proportional to 322.62, 445.25 and 212.11 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 445.25 = 212.11 : x
  2. Step 2: Convert to fraction form
    322.62/445.25 = 212.11/x
  3. Step 3: Cross multiply
    322.62x = 445.25 × 212.11
  4. Step 4: Simplify right side
    322.62x = 94,441.98
  5. Step 5: Solve for x
    x = 94,441.98/322.62
  6. Step 6: Final answer
    x = 292.73

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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.