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Finding the Fourth Proportional to 361.77, 499.37 and 268.82

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Solution

The fourth proportional to 361.77, 499.37 and 268.82 is: 371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.77 : 499.37 = 268.82 : x
  2. Step 2: Convert to fraction form
    361.77/499.37 = 268.82/x
  3. Step 3: Cross multiply
    361.77x = 499.37 × 268.82
  4. Step 4: Simplify right side
    361.77x = 134,238.68
  5. Step 5: Solve for x
    x = 134,238.68/361.77
  6. Step 6: Final answer
    x = 371.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.