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Finding the Fourth Proportional to 327.57, 490.51 and 263.31

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Solution

The fourth proportional to 327.57, 490.51 and 263.31 is: 394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 490.51 = 263.31 : x
  2. Step 2: Convert to fraction form
    327.57/490.51 = 263.31/x
  3. Step 3: Cross multiply
    327.57x = 490.51 × 263.31
  4. Step 4: Simplify right side
    327.57x = 129,156.19
  5. Step 5: Solve for x
    x = 129,156.19/327.57
  6. Step 6: Final answer
    x = 394.29

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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.