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Finding the Fourth Proportional to 419.28, 629.05 and 202.82

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Solution

The fourth proportional to 419.28, 629.05 and 202.82 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 629.05 = 202.82 : x
  2. Step 2: Convert to fraction form
    419.28/629.05 = 202.82/x
  3. Step 3: Cross multiply
    419.28x = 629.05 × 202.82
  4. Step 4: Simplify right side
    419.28x = 127,583.92
  5. Step 5: Solve for x
    x = 127,583.92/419.28
  6. Step 6: Final answer
    x = 304.29

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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.