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Finding the Fourth Proportional to 418.26, 627.21 and 225.66

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Solution

The fourth proportional to 418.26, 627.21 and 225.66 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 627.21 = 225.66 : x
  2. Step 2: Convert to fraction form
    418.26/627.21 = 225.66/x
  3. Step 3: Cross multiply
    418.26x = 627.21 × 225.66
  4. Step 4: Simplify right side
    418.26x = 141,536.21
  5. Step 5: Solve for x
    x = 141,536.21/418.26
  6. Step 6: Final answer
    x = 338.39

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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.