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Finding the Fourth Proportional to 361.14, 542.48 and 306.41

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Solution

The fourth proportional to 361.14, 542.48 and 306.41 is: 460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.14 : 542.48 = 306.41 : x
  2. Step 2: Convert to fraction form
    361.14/542.48 = 306.41/x
  3. Step 3: Cross multiply
    361.14x = 542.48 × 306.41
  4. Step 4: Simplify right side
    361.14x = 166,217.05
  5. Step 5: Solve for x
    x = 166,217.05/361.14
  6. Step 6: Final answer
    x = 460.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.