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Finding the Fourth Proportional to 322.73, 445.74 and 212.70

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Solution

The fourth proportional to 322.73, 445.74 and 212.70 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.73 : 445.74 = 212.70 : x
  2. Step 2: Convert to fraction form
    322.73/445.74 = 212.70/x
  3. Step 3: Cross multiply
    322.73x = 445.74 × 212.70
  4. Step 4: Simplify right side
    322.73x = 94,805.61
  5. Step 5: Solve for x
    x = 94,805.61/322.73
  6. Step 6: Final answer
    x = 293.76

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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.