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Finding the Fourth Proportional to 419.45, 629.22 and 202.88

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Solution

The fourth proportional to 419.45, 629.22 and 202.88 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.45 : 629.22 = 202.88 : x
  2. Step 2: Convert to fraction form
    419.45/629.22 = 202.88/x
  3. Step 3: Cross multiply
    419.45x = 629.22 × 202.88
  4. Step 4: Simplify right side
    419.45x = 127,653.01
  5. Step 5: Solve for x
    x = 127,653.01/419.45
  6. Step 6: Final answer
    x = 304.34

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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.