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Finding the Fourth Proportional to 327.26, 490.73 and 190.34

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Solution

The fourth proportional to 327.26, 490.73 and 190.34 is: 285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 490.73 = 190.34 : x
  2. Step 2: Convert to fraction form
    327.26/490.73 = 190.34/x
  3. Step 3: Cross multiply
    327.26x = 490.73 × 190.34
  4. Step 4: Simplify right side
    327.26x = 93,402.14
  5. Step 5: Solve for x
    x = 93,402.14/327.26
  6. Step 6: Final answer
    x = 285.41

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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.