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Finding the Fourth Proportional to 494.83, 682.89 and 298.41

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Solution

The fourth proportional to 494.83, 682.89 and 298.41 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.83 : 682.89 = 298.41 : x
  2. Step 2: Convert to fraction form
    494.83/682.89 = 298.41/x
  3. Step 3: Cross multiply
    494.83x = 682.89 × 298.41
  4. Step 4: Simplify right side
    494.83x = 203,781.20
  5. Step 5: Solve for x
    x = 203,781.20/494.83
  6. Step 6: Final answer
    x = 411.82

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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.