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Finding the Fourth Proportional to 327.48, 450.92 and 301.36

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Solution

The fourth proportional to 327.48, 450.92 and 301.36 is: 414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 450.92 = 301.36 : x
  2. Step 2: Convert to fraction form
    327.48/450.92 = 301.36/x
  3. Step 3: Cross multiply
    327.48x = 450.92 × 301.36
  4. Step 4: Simplify right side
    327.48x = 135,889.25
  5. Step 5: Solve for x
    x = 135,889.25/327.48
  6. Step 6: Final answer
    x = 414.95

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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.