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Finding the Fourth Proportional to 323.20, 445.84 and 219.52

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Solution

The fourth proportional to 323.20, 445.84 and 219.52 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 445.84 = 219.52 : x
  2. Step 2: Convert to fraction form
    323.20/445.84 = 219.52/x
  3. Step 3: Cross multiply
    323.20x = 445.84 × 219.52
  4. Step 4: Simplify right side
    323.20x = 97,870.80
  5. Step 5: Solve for x
    x = 97,870.80/323.20
  6. Step 6: Final answer
    x = 302.82

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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.