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Finding the Fourth Proportional to 419.54, 629.47 and 200.24

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Solution

The fourth proportional to 419.54, 629.47 and 200.24 is: 300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.47 = 200.24 : x
  2. Step 2: Convert to fraction form
    419.54/629.47 = 200.24/x
  3. Step 3: Cross multiply
    419.54x = 629.47 × 200.24
  4. Step 4: Simplify right side
    419.54x = 126,041.42
  5. Step 5: Solve for x
    x = 126,041.42/419.54
  6. Step 6: Final answer
    x = 300.43

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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.