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Finding the Fourth Proportional to 298.24, 446.97 and 229.54

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Solution

The fourth proportional to 298.24, 446.97 and 229.54 is: 344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 446.97 = 229.54 : x
  2. Step 2: Convert to fraction form
    298.24/446.97 = 229.54/x
  3. Step 3: Cross multiply
    298.24x = 446.97 × 229.54
  4. Step 4: Simplify right side
    298.24x = 102,597.49
  5. Step 5: Solve for x
    x = 102,597.49/298.24
  6. Step 6: Final answer
    x = 344.01

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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.