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Finding the Fourth Proportional to 481.98, 664.97 and 285.47

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Solution

The fourth proportional to 481.98, 664.97 and 285.47 is: 393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.98 : 664.97 = 285.47 : x
  2. Step 2: Convert to fraction form
    481.98/664.97 = 285.47/x
  3. Step 3: Cross multiply
    481.98x = 664.97 × 285.47
  4. Step 4: Simplify right side
    481.98x = 189,824.23
  5. Step 5: Solve for x
    x = 189,824.23/481.98
  6. Step 6: Final answer
    x = 393.84

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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.