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Finding the Fourth Proportional to 481.82, 664.34 and 341.69

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Solution

The fourth proportional to 481.82, 664.34 and 341.69 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.82 : 664.34 = 341.69 : x
  2. Step 2: Convert to fraction form
    481.82/664.34 = 341.69/x
  3. Step 3: Cross multiply
    481.82x = 664.34 × 341.69
  4. Step 4: Simplify right side
    481.82x = 226,993.30
  5. Step 5: Solve for x
    x = 226,993.30/481.82
  6. Step 6: Final answer
    x = 471.12

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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.