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Finding the Fourth Proportional to 325.44, 449.28 and 220.68

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Solution

The fourth proportional to 325.44, 449.28 and 220.68 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 449.28 = 220.68 : x
  2. Step 2: Convert to fraction form
    325.44/449.28 = 220.68/x
  3. Step 3: Cross multiply
    325.44x = 449.28 × 220.68
  4. Step 4: Simplify right side
    325.44x = 99,147.11
  5. Step 5: Solve for x
    x = 99,147.11/325.44
  6. Step 6: Final answer
    x = 304.66

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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.