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Finding the Fourth Proportional to 321.82, 481.57 and 276.72

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Solution

The fourth proportional to 321.82, 481.57 and 276.72 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 481.57 = 276.72 : x
  2. Step 2: Convert to fraction form
    321.82/481.57 = 276.72/x
  3. Step 3: Cross multiply
    321.82x = 481.57 × 276.72
  4. Step 4: Simplify right side
    321.82x = 133,258.33
  5. Step 5: Solve for x
    x = 133,258.33/321.82
  6. Step 6: Final answer
    x = 414.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.