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Finding the Fourth Proportional to 361.26, 541.41 and 269.22

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Solution

The fourth proportional to 361.26, 541.41 and 269.22 is: 403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.26 : 541.41 = 269.22 : x
  2. Step 2: Convert to fraction form
    361.26/541.41 = 269.22/x
  3. Step 3: Cross multiply
    361.26x = 541.41 × 269.22
  4. Step 4: Simplify right side
    361.26x = 145,758.40
  5. Step 5: Solve for x
    x = 145,758.40/361.26
  6. Step 6: Final answer
    x = 403.47

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Why These Related Problems?

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