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Finding the Fourth Proportional to 419.90, 629.76 and 200.40

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Solution

The fourth proportional to 419.90, 629.76 and 200.40 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 629.76 = 200.40 : x
  2. Step 2: Convert to fraction form
    419.90/629.76 = 200.40/x
  3. Step 3: Cross multiply
    419.90x = 629.76 × 200.40
  4. Step 4: Simplify right side
    419.90x = 126,203.90
  5. Step 5: Solve for x
    x = 126,203.90/419.90
  6. Step 6: Final answer
    x = 300.56

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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.