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Finding the Fourth Proportional to 327.63, 490.74 and 205.66

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Solution

The fourth proportional to 327.63, 490.74 and 205.66 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.63 : 490.74 = 205.66 : x
  2. Step 2: Convert to fraction form
    327.63/490.74 = 205.66/x
  3. Step 3: Cross multiply
    327.63x = 490.74 × 205.66
  4. Step 4: Simplify right side
    327.63x = 100,925.59
  5. Step 5: Solve for x
    x = 100,925.59/327.63
  6. Step 6: Final answer
    x = 308.05

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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.