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Finding the Fourth Proportional to 481.46, 664.56 and 285.03

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Solution

The fourth proportional to 481.46, 664.56 and 285.03 is: 393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.46 : 664.56 = 285.03 : x
  2. Step 2: Convert to fraction form
    481.46/664.56 = 285.03/x
  3. Step 3: Cross multiply
    481.46x = 664.56 × 285.03
  4. Step 4: Simplify right side
    481.46x = 189,419.54
  5. Step 5: Solve for x
    x = 189,419.54/481.46
  6. Step 6: Final answer
    x = 393.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.