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Finding the Fourth Proportional to 494.76, 682.72 and 298.27

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Solution

The fourth proportional to 494.76, 682.72 and 298.27 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 682.72 = 298.27 : x
  2. Step 2: Convert to fraction form
    494.76/682.72 = 298.27/x
  3. Step 3: Cross multiply
    494.76x = 682.72 × 298.27
  4. Step 4: Simplify right side
    494.76x = 203,634.89
  5. Step 5: Solve for x
    x = 203,634.89/494.76
  6. Step 6: Final answer
    x = 411.58

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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.