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Finding the Fourth Proportional to 329.76, 451.20 and 324.80

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Solution

The fourth proportional to 329.76, 451.20 and 324.80 is: 444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 451.20 = 324.80 : x
  2. Step 2: Convert to fraction form
    329.76/451.20 = 324.80/x
  3. Step 3: Cross multiply
    329.76x = 451.20 × 324.80
  4. Step 4: Simplify right side
    329.76x = 146,549.76
  5. Step 5: Solve for x
    x = 146,549.76/329.76
  6. Step 6: Final answer
    x = 444.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.