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Finding the Fourth Proportional to 327.42, 451.70 and 321.24

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Solution

The fourth proportional to 327.42, 451.70 and 321.24 is: 443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 451.70 = 321.24 : x
  2. Step 2: Convert to fraction form
    327.42/451.70 = 321.24/x
  3. Step 3: Cross multiply
    327.42x = 451.70 × 321.24
  4. Step 4: Simplify right side
    327.42x = 145,104.11
  5. Step 5: Solve for x
    x = 145,104.11/327.42
  6. Step 6: Final answer
    x = 443.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.