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Finding the Fourth Proportional to 494.75, 682.79 and 298.25

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Solution

The fourth proportional to 494.75, 682.79 and 298.25 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 682.79 = 298.25 : x
  2. Step 2: Convert to fraction form
    494.75/682.79 = 298.25/x
  3. Step 3: Cross multiply
    494.75x = 682.79 × 298.25
  4. Step 4: Simplify right side
    494.75x = 203,642.12
  5. Step 5: Solve for x
    x = 203,642.12/494.75
  6. Step 6: Final answer
    x = 411.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.