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Finding the Fourth Proportional to 481.24, 664.16 and 274.24

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Solution

The fourth proportional to 481.24, 664.16 and 274.24 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.24 : 664.16 = 274.24 : x
  2. Step 2: Convert to fraction form
    481.24/664.16 = 274.24/x
  3. Step 3: Cross multiply
    481.24x = 664.16 × 274.24
  4. Step 4: Simplify right side
    481.24x = 182,139.24
  5. Step 5: Solve for x
    x = 182,139.24/481.24
  6. Step 6: Final answer
    x = 378.48

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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.