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Finding the Fourth Proportional to 325.78, 449.85 and 232.81

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Solution

The fourth proportional to 325.78, 449.85 and 232.81 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 449.85 = 232.81 : x
  2. Step 2: Convert to fraction form
    325.78/449.85 = 232.81/x
  3. Step 3: Cross multiply
    325.78x = 449.85 × 232.81
  4. Step 4: Simplify right side
    325.78x = 104,729.58
  5. Step 5: Solve for x
    x = 104,729.58/325.78
  6. Step 6: Final answer
    x = 321.47

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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.