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Finding the Fourth Proportional to 494.62, 682.70 and 298.26

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Solution

The fourth proportional to 494.62, 682.70 and 298.26 is: 411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.62 : 682.70 = 298.26 : x
  2. Step 2: Convert to fraction form
    494.62/682.70 = 298.26/x
  3. Step 3: Cross multiply
    494.62x = 682.70 × 298.26
  4. Step 4: Simplify right side
    494.62x = 203,620.61
  5. Step 5: Solve for x
    x = 203,620.61/494.62
  6. Step 6: Final answer
    x = 411.67

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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.