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Finding the Fourth Proportional to 298.28, 409.91 and 245.73

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Solution

The fourth proportional to 298.28, 409.91 and 245.73 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 409.91 = 245.73 : x
  2. Step 2: Convert to fraction form
    298.28/409.91 = 245.73/x
  3. Step 3: Cross multiply
    298.28x = 409.91 × 245.73
  4. Step 4: Simplify right side
    298.28x = 100,725.96
  5. Step 5: Solve for x
    x = 100,725.96/298.28
  6. Step 6: Final answer
    x = 337.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.