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Finding the Fourth Proportional to 361.18, 541.44 and 306.68

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Solution

The fourth proportional to 361.18, 541.44 and 306.68 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 541.44 = 306.68 : x
  2. Step 2: Convert to fraction form
    361.18/541.44 = 306.68/x
  3. Step 3: Cross multiply
    361.18x = 541.44 × 306.68
  4. Step 4: Simplify right side
    361.18x = 166,050.17
  5. Step 5: Solve for x
    x = 166,050.17/361.18
  6. Step 6: Final answer
    x = 459.75

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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.