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Finding the Fourth Proportional to 494.69, 682.67 and 298.31

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Solution

The fourth proportional to 494.69, 682.67 and 298.31 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 682.67 = 298.31 : x
  2. Step 2: Convert to fraction form
    494.69/682.67 = 298.31/x
  3. Step 3: Cross multiply
    494.69x = 682.67 × 298.31
  4. Step 4: Simplify right side
    494.69x = 203,645.80
  5. Step 5: Solve for x
    x = 203,645.80/494.69
  6. Step 6: Final answer
    x = 411.66

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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.