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Finding the Fourth Proportional to 327.62, 491.44 and 276.60

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Solution

The fourth proportional to 327.62, 491.44 and 276.60 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.62 : 491.44 = 276.60 : x
  2. Step 2: Convert to fraction form
    327.62/491.44 = 276.60/x
  3. Step 3: Cross multiply
    327.62x = 491.44 × 276.60
  4. Step 4: Simplify right side
    327.62x = 135,932.30
  5. Step 5: Solve for x
    x = 135,932.30/327.62
  6. Step 6: Final answer
    x = 414.91

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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.