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Finding the Fourth Proportional to 419.93, 629.35 and 200.55

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Solution

The fourth proportional to 419.93, 629.35 and 200.55 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.93 : 629.35 = 200.55 : x
  2. Step 2: Convert to fraction form
    419.93/629.35 = 200.55/x
  3. Step 3: Cross multiply
    419.93x = 629.35 × 200.55
  4. Step 4: Simplify right side
    419.93x = 126,216.14
  5. Step 5: Solve for x
    x = 126,216.14/419.93
  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.