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Finding the Fourth Proportional to 361.90, 541.62 and 330.31

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Solution

The fourth proportional to 361.90, 541.62 and 330.31 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.90 : 541.62 = 330.31 : x
  2. Step 2: Convert to fraction form
    361.90/541.62 = 330.31/x
  3. Step 3: Cross multiply
    361.90x = 541.62 × 330.31
  4. Step 4: Simplify right side
    361.90x = 178,902.50
  5. Step 5: Solve for x
    x = 178,902.50/361.90
  6. Step 6: Final answer
    x = 494.34

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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.