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Finding the Fourth Proportional to 418.69, 629.25 and 202.42

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Solution

The fourth proportional to 418.69, 629.25 and 202.42 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 629.25 = 202.42 : x
  2. Step 2: Convert to fraction form
    418.69/629.25 = 202.42/x
  3. Step 3: Cross multiply
    418.69x = 629.25 × 202.42
  4. Step 4: Simplify right side
    418.69x = 127,368.63
  5. Step 5: Solve for x
    x = 127,368.63/418.69
  6. Step 6: Final answer
    x = 304.21

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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.