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Finding the Fourth Proportional to 404.24, 605.55 and 241.34

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Solution

The fourth proportional to 404.24, 605.55 and 241.34 is: 361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 605.55 = 241.34 : x
  2. Step 2: Convert to fraction form
    404.24/605.55 = 241.34/x
  3. Step 3: Cross multiply
    404.24x = 605.55 × 241.34
  4. Step 4: Simplify right side
    404.24x = 146,143.44
  5. Step 5: Solve for x
    x = 146,143.44/404.24
  6. Step 6: Final answer
    x = 361.53

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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.