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Finding the Fourth Proportional to 298.89, 447.71 and 233.78

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Solution

The fourth proportional to 298.89, 447.71 and 233.78 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.89 : 447.71 = 233.78 : x
  2. Step 2: Convert to fraction form
    298.89/447.71 = 233.78/x
  3. Step 3: Cross multiply
    298.89x = 447.71 × 233.78
  4. Step 4: Simplify right side
    298.89x = 104,662.24
  5. Step 5: Solve for x
    x = 104,662.24/298.89
  6. Step 6: Final answer
    x = 350.17

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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.