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Finding the Fourth Proportional to 481.63, 723.81 and 448.84

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Solution

The fourth proportional to 481.63, 723.81 and 448.84 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.63 : 723.81 = 448.84 : x
  2. Step 2: Convert to fraction form
    481.63/723.81 = 448.84/x
  3. Step 3: Cross multiply
    481.63x = 723.81 × 448.84
  4. Step 4: Simplify right side
    481.63x = 324,874.88
  5. Step 5: Solve for x
    x = 324,874.88/481.63
  6. Step 6: Final answer
    x = 674.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.