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Finding the Fourth Proportional to 481.68, 721.46 and 427

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Solution

The fourth proportional to 481.68, 721.46 and 427 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 721.46 = 427 : x
  2. Step 2: Convert to fraction form
    481.68/721.46 = 427/x
  3. Step 3: Cross multiply
    481.68x = 721.46 × 427
  4. Step 4: Simplify right side
    481.68x = 308,063.42
  5. Step 5: Solve for x
    x = 308,063.42/481.68
  6. Step 6: Final answer
    x = 639.56

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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.