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Finding the Fourth Proportional to 322.80, 445.36 and 229.56

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Solution

The fourth proportional to 322.80, 445.36 and 229.56 is: 316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 445.36 = 229.56 : x
  2. Step 2: Convert to fraction form
    322.80/445.36 = 229.56/x
  3. Step 3: Cross multiply
    322.80x = 445.36 × 229.56
  4. Step 4: Simplify right side
    322.80x = 102,236.84
  5. Step 5: Solve for x
    x = 102,236.84/322.80
  6. Step 6: Final answer
    x = 316.72

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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.