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Finding the Fourth Proportional to 404.73, 557.24 and 367.77

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Solution

The fourth proportional to 404.73, 557.24 and 367.77 is: 506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.73 : 557.24 = 367.77 : x
  2. Step 2: Convert to fraction form
    404.73/557.24 = 367.77/x
  3. Step 3: Cross multiply
    404.73x = 557.24 × 367.77
  4. Step 4: Simplify right side
    404.73x = 204,936.15
  5. Step 5: Solve for x
    x = 204,936.15/404.73
  6. Step 6: Final answer
    x = 506.36

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Why These Related Problems?

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