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Finding the Fourth Proportional to 419.69, 629.34 and 200.31

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Solution

The fourth proportional to 419.69, 629.34 and 200.31 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 629.34 = 200.31 : x
  2. Step 2: Convert to fraction form
    419.69/629.34 = 200.31/x
  3. Step 3: Cross multiply
    419.69x = 629.34 × 200.31
  4. Step 4: Simplify right side
    419.69x = 126,063.10
  5. Step 5: Solve for x
    x = 126,063.10/419.69
  6. Step 6: Final answer
    x = 300.38

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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.