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Finding the Fourth Proportional to 321.29, 443.42 and 268.74

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Solution

The fourth proportional to 321.29, 443.42 and 268.74 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.29 : 443.42 = 268.74 : x
  2. Step 2: Convert to fraction form
    321.29/443.42 = 268.74/x
  3. Step 3: Cross multiply
    321.29x = 443.42 × 268.74
  4. Step 4: Simplify right side
    321.29x = 119,163.35
  5. Step 5: Solve for x
    x = 119,163.35/321.29
  6. Step 6: Final answer
    x = 370.90

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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.