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Finding the Fourth Proportional to 361.82, 540.63 and 277.99

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Solution

The fourth proportional to 361.82, 540.63 and 277.99 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 540.63 = 277.99 : x
  2. Step 2: Convert to fraction form
    361.82/540.63 = 277.99/x
  3. Step 3: Cross multiply
    361.82x = 540.63 × 277.99
  4. Step 4: Simplify right side
    361.82x = 150,288.38
  5. Step 5: Solve for x
    x = 150,288.38/361.82
  6. Step 6: Final answer
    x = 415.36

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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.