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Finding the Fourth Proportional to 319.92, 441.48 and 232.96

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Solution

The fourth proportional to 319.92, 441.48 and 232.96 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 441.48 = 232.96 : x
  2. Step 2: Convert to fraction form
    319.92/441.48 = 232.96/x
  3. Step 3: Cross multiply
    319.92x = 441.48 × 232.96
  4. Step 4: Simplify right side
    319.92x = 102,847.18
  5. Step 5: Solve for x
    x = 102,847.18/319.92
  6. Step 6: Final answer
    x = 321.48

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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.