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Finding the Fourth Proportional to 321.75, 444.33 and 252.63

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Solution

The fourth proportional to 321.75, 444.33 and 252.63 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 444.33 = 252.63 : x
  2. Step 2: Convert to fraction form
    321.75/444.33 = 252.63/x
  3. Step 3: Cross multiply
    321.75x = 444.33 × 252.63
  4. Step 4: Simplify right side
    321.75x = 112,251.09
  5. Step 5: Solve for x
    x = 112,251.09/321.75
  6. Step 6: Final answer
    x = 348.88

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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.