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Finding the Fourth Proportional to 419.88, 629.69 and 127.27

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Solution

The fourth proportional to 419.88, 629.69 and 127.27 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 629.69 = 127.27 : x
  2. Step 2: Convert to fraction form
    419.88/629.69 = 127.27/x
  3. Step 3: Cross multiply
    419.88x = 629.69 × 127.27
  4. Step 4: Simplify right side
    419.88x = 80,138.44
  5. Step 5: Solve for x
    x = 80,138.44/419.88
  6. Step 6: Final answer
    x = 190.86

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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.