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Finding the Fourth Proportional to 361.28, 499 and 262.88

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Solution

The fourth proportional to 361.28, 499 and 262.88 is: 363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 499 = 262.88 : x
  2. Step 2: Convert to fraction form
    361.28/499 = 262.88/x
  3. Step 3: Cross multiply
    361.28x = 499 × 262.88
  4. Step 4: Simplify right side
    361.28x = 131,177.12
  5. Step 5: Solve for x
    x = 131,177.12/361.28
  6. Step 6: Final answer
    x = 363.09

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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.