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Finding the Fourth Proportional to 419.68, 629.15 and 200.19

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Solution

The fourth proportional to 419.68, 629.15 and 200.19 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 629.15 = 200.19 : x
  2. Step 2: Convert to fraction form
    419.68/629.15 = 200.19/x
  3. Step 3: Cross multiply
    419.68x = 629.15 × 200.19
  4. Step 4: Simplify right side
    419.68x = 125,949.54
  5. Step 5: Solve for x
    x = 125,949.54/419.68
  6. Step 6: Final answer
    x = 300.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.