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Finding the Fourth Proportional to 290.74, 401 and 197.44

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Solution

The fourth proportional to 290.74, 401 and 197.44 is: 272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.74 : 401 = 197.44 : x
  2. Step 2: Convert to fraction form
    290.74/401 = 197.44/x
  3. Step 3: Cross multiply
    290.74x = 401 × 197.44
  4. Step 4: Simplify right side
    290.74x = 79,173.44
  5. Step 5: Solve for x
    x = 79,173.44/290.74
  6. Step 6: Final answer
    x = 272.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.