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Finding the Fourth Proportional to 327.54, 490.98 and 190.62

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Solution

The fourth proportional to 327.54, 490.98 and 190.62 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.54 : 490.98 = 190.62 : x
  2. Step 2: Convert to fraction form
    327.54/490.98 = 190.62/x
  3. Step 3: Cross multiply
    327.54x = 490.98 × 190.62
  4. Step 4: Simplify right side
    327.54x = 93,590.61
  5. Step 5: Solve for x
    x = 93,590.61/327.54
  6. Step 6: Final answer
    x = 285.74

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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.