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Finding the Fourth Proportional to 327.44, 488.90 and 325.04

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Solution

The fourth proportional to 327.44, 488.90 and 325.04 is: 485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 488.90 = 325.04 : x
  2. Step 2: Convert to fraction form
    327.44/488.90 = 325.04/x
  3. Step 3: Cross multiply
    327.44x = 488.90 × 325.04
  4. Step 4: Simplify right side
    327.44x = 158,912.06
  5. Step 5: Solve for x
    x = 158,912.06/327.44
  6. Step 6: Final answer
    x = 485.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.