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Finding the Fourth Proportional to 361.09, 540.60 and 274.78

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Solution

The fourth proportional to 361.09, 540.60 and 274.78 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 540.60 = 274.78 : x
  2. Step 2: Convert to fraction form
    361.09/540.60 = 274.78/x
  3. Step 3: Cross multiply
    361.09x = 540.60 × 274.78
  4. Step 4: Simplify right side
    361.09x = 148,546.07
  5. Step 5: Solve for x
    x = 148,546.07/361.09
  6. Step 6: Final answer
    x = 411.38

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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.