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Finding the Fourth Proportional to 327.34, 491.12 and 205.45

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Solution

The fourth proportional to 327.34, 491.12 and 205.45 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 491.12 = 205.45 : x
  2. Step 2: Convert to fraction form
    327.34/491.12 = 205.45/x
  3. Step 3: Cross multiply
    327.34x = 491.12 × 205.45
  4. Step 4: Simplify right side
    327.34x = 100,900.60
  5. Step 5: Solve for x
    x = 100,900.60/327.34
  6. Step 6: Final answer
    x = 308.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.