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Finding the Fourth Proportional to 298.23, 411.11 and 209.44

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Solution

The fourth proportional to 298.23, 411.11 and 209.44 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 411.11 = 209.44 : x
  2. Step 2: Convert to fraction form
    298.23/411.11 = 209.44/x
  3. Step 3: Cross multiply
    298.23x = 411.11 × 209.44
  4. Step 4: Simplify right side
    298.23x = 86,102.88
  5. Step 5: Solve for x
    x = 86,102.88/298.23
  6. Step 6: Final answer
    x = 288.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.