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Finding the Fourth Proportional to 298.44, 446.99 and 243.36

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Solution

The fourth proportional to 298.44, 446.99 and 243.36 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.44 : 446.99 = 243.36 : x
  2. Step 2: Convert to fraction form
    298.44/446.99 = 243.36/x
  3. Step 3: Cross multiply
    298.44x = 446.99 × 243.36
  4. Step 4: Simplify right side
    298.44x = 108,778.27
  5. Step 5: Solve for x
    x = 108,778.27/298.44
  6. Step 6: Final answer
    x = 364.49

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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.