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Finding the Fourth Proportional to 419.82, 629.65 and 131.23

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Solution

The fourth proportional to 419.82, 629.65 and 131.23 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 629.65 = 131.23 : x
  2. Step 2: Convert to fraction form
    419.82/629.65 = 131.23/x
  3. Step 3: Cross multiply
    419.82x = 629.65 × 131.23
  4. Step 4: Simplify right side
    419.82x = 82,628.97
  5. Step 5: Solve for x
    x = 82,628.97/419.82
  6. Step 6: Final answer
    x = 196.82

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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.