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Finding the Fourth Proportional to 329.73, 454.46 and 242.25

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Solution

The fourth proportional to 329.73, 454.46 and 242.25 is: 333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.73 : 454.46 = 242.25 : x
  2. Step 2: Convert to fraction form
    329.73/454.46 = 242.25/x
  3. Step 3: Cross multiply
    329.73x = 454.46 × 242.25
  4. Step 4: Simplify right side
    329.73x = 110,091.72
  5. Step 5: Solve for x
    x = 110,091.72/329.73
  6. Step 6: Final answer
    x = 333.88

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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.