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Finding the Fourth Proportional to 494.73, 682.54 and 298.30

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Solution

The fourth proportional to 494.73, 682.54 and 298.30 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 682.54 = 298.30 : x
  2. Step 2: Convert to fraction form
    494.73/682.54 = 298.30/x
  3. Step 3: Cross multiply
    494.73x = 682.54 × 298.30
  4. Step 4: Simplify right side
    494.73x = 203,601.68
  5. Step 5: Solve for x
    x = 203,601.68/494.73
  6. Step 6: Final answer
    x = 411.54

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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.