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Finding the Fourth Proportional to 481.38, 664.30 and 274.38

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Solution

The fourth proportional to 481.38, 664.30 and 274.38 is: 378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.38 : 664.30 = 274.38 : x
  2. Step 2: Convert to fraction form
    481.38/664.30 = 274.38/x
  3. Step 3: Cross multiply
    481.38x = 664.30 × 274.38
  4. Step 4: Simplify right side
    481.38x = 182,270.63
  5. Step 5: Solve for x
    x = 182,270.63/481.38
  6. Step 6: Final answer
    x = 378.64

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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.