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Finding the Fourth Proportional to 298.52, 447.86 and 246.66

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Solution

The fourth proportional to 298.52, 447.86 and 246.66 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 447.86 = 246.66 : x
  2. Step 2: Convert to fraction form
    298.52/447.86 = 246.66/x
  3. Step 3: Cross multiply
    298.52x = 447.86 × 246.66
  4. Step 4: Simplify right side
    298.52x = 110,469.15
  5. Step 5: Solve for x
    x = 110,469.15/298.52
  6. Step 6: Final answer
    x = 370.06

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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.