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Finding the Fourth Proportional to 419.73, 629.92 and 214.47

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Solution

The fourth proportional to 419.73, 629.92 and 214.47 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 629.92 = 214.47 : x
  2. Step 2: Convert to fraction form
    419.73/629.92 = 214.47/x
  3. Step 3: Cross multiply
    419.73x = 629.92 × 214.47
  4. Step 4: Simplify right side
    419.73x = 135,099.44
  5. Step 5: Solve for x
    x = 135,099.44/419.73
  6. Step 6: Final answer
    x = 321.87

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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.