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Finding the Fourth Proportional to 321.75, 443.61 and 256.14

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Solution

The fourth proportional to 321.75, 443.61 and 256.14 is: 353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 443.61 = 256.14 : x
  2. Step 2: Convert to fraction form
    321.75/443.61 = 256.14/x
  3. Step 3: Cross multiply
    321.75x = 443.61 × 256.14
  4. Step 4: Simplify right side
    321.75x = 113,626.27
  5. Step 5: Solve for x
    x = 113,626.27/321.75
  6. Step 6: Final answer
    x = 353.15

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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.