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Finding the Fourth Proportional to 322, 443.80 and 238.96

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Solution

The fourth proportional to 322, 443.80 and 238.96 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 443.80 = 238.96 : x
  2. Step 2: Convert to fraction form
    322/443.80 = 238.96/x
  3. Step 3: Cross multiply
    322x = 443.80 × 238.96
  4. Step 4: Simplify right side
    322x = 106,050.45
  5. Step 5: Solve for x
    x = 106,050.45/322
  6. Step 6: Final answer
    x = 329.35

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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.