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Finding the Fourth Proportional to 404.24, 605.84 and 266.96

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Solution

The fourth proportional to 404.24, 605.84 and 266.96 is: 400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 605.84 = 266.96 : x
  2. Step 2: Convert to fraction form
    404.24/605.84 = 266.96/x
  3. Step 3: Cross multiply
    404.24x = 605.84 × 266.96
  4. Step 4: Simplify right side
    404.24x = 161,735.05
  5. Step 5: Solve for x
    x = 161,735.05/404.24
  6. Step 6: Final answer
    x = 400.10

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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.