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Finding the Fourth Proportional to 481.37, 664.09 and 294.77

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Solution

The fourth proportional to 481.37, 664.09 and 294.77 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.37 : 664.09 = 294.77 : x
  2. Step 2: Convert to fraction form
    481.37/664.09 = 294.77/x
  3. Step 3: Cross multiply
    481.37x = 664.09 × 294.77
  4. Step 4: Simplify right side
    481.37x = 195,754.73
  5. Step 5: Solve for x
    x = 195,754.73/481.37
  6. Step 6: Final answer
    x = 406.67

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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.