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Finding the Fourth Proportional to 481.76, 664.84 and 285.44

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Solution

The fourth proportional to 481.76, 664.84 and 285.44 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 664.84 = 285.44 : x
  2. Step 2: Convert to fraction form
    481.76/664.84 = 285.44/x
  3. Step 3: Cross multiply
    481.76x = 664.84 × 285.44
  4. Step 4: Simplify right side
    481.76x = 189,771.93
  5. Step 5: Solve for x
    x = 189,771.93/481.76
  6. Step 6: Final answer
    x = 393.91

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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.