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Finding the Fourth Proportional to 361.78, 541.45 and 331.81

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Solution

The fourth proportional to 361.78, 541.45 and 331.81 is: 496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 541.45 = 331.81 : x
  2. Step 2: Convert to fraction form
    361.78/541.45 = 331.81/x
  3. Step 3: Cross multiply
    361.78x = 541.45 × 331.81
  4. Step 4: Simplify right side
    361.78x = 179,658.52
  5. Step 5: Solve for x
    x = 179,658.52/361.78
  6. Step 6: Final answer
    x = 496.60

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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.