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Finding the Fourth Proportional to 481.66, 664.34 and 285.04

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Solution

The fourth proportional to 481.66, 664.34 and 285.04 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.66 : 664.34 = 285.04 : x
  2. Step 2: Convert to fraction form
    481.66/664.34 = 285.04/x
  3. Step 3: Cross multiply
    481.66x = 664.34 × 285.04
  4. Step 4: Simplify right side
    481.66x = 189,363.47
  5. Step 5: Solve for x
    x = 189,363.47/481.66
  6. Step 6: Final answer
    x = 393.15

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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.