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Finding the Fourth Proportional to 325.82, 449.48 and 201.44

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Solution

The fourth proportional to 325.82, 449.48 and 201.44 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.82 : 449.48 = 201.44 : x
  2. Step 2: Convert to fraction form
    325.82/449.48 = 201.44/x
  3. Step 3: Cross multiply
    325.82x = 449.48 × 201.44
  4. Step 4: Simplify right side
    325.82x = 90,543.25
  5. Step 5: Solve for x
    x = 90,543.25/325.82
  6. Step 6: Final answer
    x = 277.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.