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Finding the Fourth Proportional to 361.49, 537.90 and 360.28

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Solution

The fourth proportional to 361.49, 537.90 and 360.28 is: 536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.49 : 537.90 = 360.28 : x
  2. Step 2: Convert to fraction form
    361.49/537.90 = 360.28/x
  3. Step 3: Cross multiply
    361.49x = 537.90 × 360.28
  4. Step 4: Simplify right side
    361.49x = 193,791.92
  5. Step 5: Solve for x
    x = 193,791.92/361.49
  6. Step 6: Final answer
    x = 536.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.