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Finding the Fourth Proportional to 361.92, 498.96 and 306.54

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Solution

The fourth proportional to 361.92, 498.96 and 306.54 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 498.96 = 306.54 : x
  2. Step 2: Convert to fraction form
    361.92/498.96 = 306.54/x
  3. Step 3: Cross multiply
    361.92x = 498.96 × 306.54
  4. Step 4: Simplify right side
    361.92x = 152,951.20
  5. Step 5: Solve for x
    x = 152,951.20/361.92
  6. Step 6: Final answer
    x = 422.61

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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.