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Finding the Fourth Proportional to 404.23, 605.66 and 249.77

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Solution

The fourth proportional to 404.23, 605.66 and 249.77 is: 374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.23 : 605.66 = 249.77 : x
  2. Step 2: Convert to fraction form
    404.23/605.66 = 249.77/x
  3. Step 3: Cross multiply
    404.23x = 605.66 × 249.77
  4. Step 4: Simplify right side
    404.23x = 151,275.70
  5. Step 5: Solve for x
    x = 151,275.70/404.23
  6. Step 6: Final answer
    x = 374.23

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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.