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Finding the Fourth Proportional to 327.66, 490.95 and 245.45

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Solution

The fourth proportional to 327.66, 490.95 and 245.45 is: 367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 490.95 = 245.45 : x
  2. Step 2: Convert to fraction form
    327.66/490.95 = 245.45/x
  3. Step 3: Cross multiply
    327.66x = 490.95 × 245.45
  4. Step 4: Simplify right side
    327.66x = 120,501.22
  5. Step 5: Solve for x
    x = 120,501.22/327.66
  6. Step 6: Final answer
    x = 367.76

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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.