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Finding the Fourth Proportional to 327.16, 490.30 and 224.28

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Solution

The fourth proportional to 327.16, 490.30 and 224.28 is: 336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 490.30 = 224.28 : x
  2. Step 2: Convert to fraction form
    327.16/490.30 = 224.28/x
  3. Step 3: Cross multiply
    327.16x = 490.30 × 224.28
  4. Step 4: Simplify right side
    327.16x = 109,964.48
  5. Step 5: Solve for x
    x = 109,964.48/327.16
  6. Step 6: Final answer
    x = 336.12

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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.