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Finding the Fourth Proportional to 481.79, 664.43 and 361.68

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Solution

The fourth proportional to 481.79, 664.43 and 361.68 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.79 : 664.43 = 361.68 : x
  2. Step 2: Convert to fraction form
    481.79/664.43 = 361.68/x
  3. Step 3: Cross multiply
    481.79x = 664.43 × 361.68
  4. Step 4: Simplify right side
    481.79x = 240,305.91
  5. Step 5: Solve for x
    x = 240,305.91/481.79
  6. Step 6: Final answer
    x = 498.78

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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.