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Finding the Fourth Proportional to 298.26, 446.97 and 220.61

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Solution

The fourth proportional to 298.26, 446.97 and 220.61 is: 330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.26 : 446.97 = 220.61 : x
  2. Step 2: Convert to fraction form
    298.26/446.97 = 220.61/x
  3. Step 3: Cross multiply
    298.26x = 446.97 × 220.61
  4. Step 4: Simplify right side
    298.26x = 98,606.05
  5. Step 5: Solve for x
    x = 98,606.05/298.26
  6. Step 6: Final answer
    x = 330.60

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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.