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Finding the Fourth Proportional to 481.56, 664.36 and 294.96

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Solution

The fourth proportional to 481.56, 664.36 and 294.96 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.56 : 664.36 = 294.96 : x
  2. Step 2: Convert to fraction form
    481.56/664.36 = 294.96/x
  3. Step 3: Cross multiply
    481.56x = 664.36 × 294.96
  4. Step 4: Simplify right side
    481.56x = 195,959.63
  5. Step 5: Solve for x
    x = 195,959.63/481.56
  6. Step 6: Final answer
    x = 406.93

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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.