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Finding the Fourth Proportional to 419.52, 629.04 and 200.19

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Solution

The fourth proportional to 419.52, 629.04 and 200.19 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 629.04 = 200.19 : x
  2. Step 2: Convert to fraction form
    419.52/629.04 = 200.19/x
  3. Step 3: Cross multiply
    419.52x = 629.04 × 200.19
  4. Step 4: Simplify right side
    419.52x = 125,927.52
  5. Step 5: Solve for x
    x = 125,927.52/419.52
  6. Step 6: Final answer
    x = 300.17

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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.