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Finding the Fourth Proportional to 321.76, 443.88 and 205.44

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Solution

The fourth proportional to 321.76, 443.88 and 205.44 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 443.88 = 205.44 : x
  2. Step 2: Convert to fraction form
    321.76/443.88 = 205.44/x
  3. Step 3: Cross multiply
    321.76x = 443.88 × 205.44
  4. Step 4: Simplify right side
    321.76x = 91,190.71
  5. Step 5: Solve for x
    x = 91,190.71/321.76
  6. Step 6: Final answer
    x = 283.41

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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.