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Finding the Fourth Proportional to 321.45, 443.31 and 233.97

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Solution

The fourth proportional to 321.45, 443.31 and 233.97 is: 322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.45 : 443.31 = 233.97 : x
  2. Step 2: Convert to fraction form
    321.45/443.31 = 233.97/x
  3. Step 3: Cross multiply
    321.45x = 443.31 × 233.97
  4. Step 4: Simplify right side
    321.45x = 103,721.24
  5. Step 5: Solve for x
    x = 103,721.24/321.45
  6. Step 6: Final answer
    x = 322.67

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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.