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Finding the Fourth Proportional to 298.27, 446.81 and 272.89

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Solution

The fourth proportional to 298.27, 446.81 and 272.89 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.27 : 446.81 = 272.89 : x
  2. Step 2: Convert to fraction form
    298.27/446.81 = 272.89/x
  3. Step 3: Cross multiply
    298.27x = 446.81 × 272.89
  4. Step 4: Simplify right side
    298.27x = 121,927.50
  5. Step 5: Solve for x
    x = 121,927.50/298.27
  6. Step 6: Final answer
    x = 408.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.