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Finding the Fourth Proportional to 361.36, 498.36 and 306.04

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Solution

The fourth proportional to 361.36, 498.36 and 306.04 is: 422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.36 : 498.36 = 306.04 : x
  2. Step 2: Convert to fraction form
    361.36/498.36 = 306.04/x
  3. Step 3: Cross multiply
    361.36x = 498.36 × 306.04
  4. Step 4: Simplify right side
    361.36x = 152,518.09
  5. Step 5: Solve for x
    x = 152,518.09/361.36
  6. Step 6: Final answer
    x = 422.07

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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.