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Finding the Fourth Proportional to 420.26, 629.89 and 200.75

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Solution

The fourth proportional to 420.26, 629.89 and 200.75 is: 300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 629.89 = 200.75 : x
  2. Step 2: Convert to fraction form
    420.26/629.89 = 200.75/x
  3. Step 3: Cross multiply
    420.26x = 629.89 × 200.75
  4. Step 4: Simplify right side
    420.26x = 126,449.41
  5. Step 5: Solve for x
    x = 126,449.41/420.26
  6. Step 6: Final answer
    x = 300.88

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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.