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Finding the Fourth Proportional to 481.92, 664.80 and 334.68

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Solution

The fourth proportional to 481.92, 664.80 and 334.68 is: 461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 664.80 = 334.68 : x
  2. Step 2: Convert to fraction form
    481.92/664.80 = 334.68/x
  3. Step 3: Cross multiply
    481.92x = 664.80 × 334.68
  4. Step 4: Simplify right side
    481.92x = 222,495.26
  5. Step 5: Solve for x
    x = 222,495.26/481.92
  6. Step 6: Final answer
    x = 461.69

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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.