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Finding the Fourth Proportional to 321.74, 443.85 and 278

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Solution

The fourth proportional to 321.74, 443.85 and 278 is: 383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.74 : 443.85 = 278 : x
  2. Step 2: Convert to fraction form
    321.74/443.85 = 278/x
  3. Step 3: Cross multiply
    321.74x = 443.85 × 278
  4. Step 4: Simplify right side
    321.74x = 123,390.30
  5. Step 5: Solve for x
    x = 123,390.30/321.74
  6. Step 6: Final answer
    x = 383.51

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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.