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Finding the Fourth Proportional to 481.54, 664.37 and 294.84

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Solution

The fourth proportional to 481.54, 664.37 and 294.84 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.54 : 664.37 = 294.84 : x
  2. Step 2: Convert to fraction form
    481.54/664.37 = 294.84/x
  3. Step 3: Cross multiply
    481.54x = 664.37 × 294.84
  4. Step 4: Simplify right side
    481.54x = 195,880.27
  5. Step 5: Solve for x
    x = 195,880.27/481.54
  6. Step 6: Final answer
    x = 406.78

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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.