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Finding the Fourth Proportional to 523.21, 721.81 and 481.76

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Solution

The fourth proportional to 523.21, 721.81 and 481.76 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 721.81 = 481.76 : x
  2. Step 2: Convert to fraction form
    523.21/721.81 = 481.76/x
  3. Step 3: Cross multiply
    523.21x = 721.81 × 481.76
  4. Step 4: Simplify right side
    523.21x = 347,739.19
  5. Step 5: Solve for x
    x = 347,739.19/523.21
  6. Step 6: Final answer
    x = 664.63

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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.