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Finding the Fourth Proportional to 327.60, 490.86 and 259.56

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Solution

The fourth proportional to 327.60, 490.86 and 259.56 is: 388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 490.86 = 259.56 : x
  2. Step 2: Convert to fraction form
    327.60/490.86 = 259.56/x
  3. Step 3: Cross multiply
    327.60x = 490.86 × 259.56
  4. Step 4: Simplify right side
    327.60x = 127,407.62
  5. Step 5: Solve for x
    x = 127,407.62/327.60
  6. Step 6: Final answer
    x = 388.91

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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.