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Finding the Fourth Proportional to 298.61, 447.14 and 229.43

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Solution

The fourth proportional to 298.61, 447.14 and 229.43 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 447.14 = 229.43 : x
  2. Step 2: Convert to fraction form
    298.61/447.14 = 229.43/x
  3. Step 3: Cross multiply
    298.61x = 447.14 × 229.43
  4. Step 4: Simplify right side
    298.61x = 102,589.02
  5. Step 5: Solve for x
    x = 102,589.02/298.61
  6. Step 6: Final answer
    x = 343.55

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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.