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Finding the Fourth Proportional to 494.71, 682.69 and 298.27

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Solution

The fourth proportional to 494.71, 682.69 and 298.27 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.71 : 682.69 = 298.27 : x
  2. Step 2: Convert to fraction form
    494.71/682.69 = 298.27/x
  3. Step 3: Cross multiply
    494.71x = 682.69 × 298.27
  4. Step 4: Simplify right side
    494.71x = 203,625.95
  5. Step 5: Solve for x
    x = 203,625.95/494.71
  6. Step 6: Final answer
    x = 411.61

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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.