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Finding the Fourth Proportional to 325.32, 449.22 and 238.44

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Solution

The fourth proportional to 325.32, 449.22 and 238.44 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 449.22 = 238.44 : x
  2. Step 2: Convert to fraction form
    325.32/449.22 = 238.44/x
  3. Step 3: Cross multiply
    325.32x = 449.22 × 238.44
  4. Step 4: Simplify right side
    325.32x = 107,112.02
  5. Step 5: Solve for x
    x = 107,112.02/325.32
  6. Step 6: Final answer
    x = 329.25

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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.