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Finding the Fourth Proportional to 404.10, 605.78 and 184.61

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Solution

The fourth proportional to 404.10, 605.78 and 184.61 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 605.78 = 184.61 : x
  2. Step 2: Convert to fraction form
    404.10/605.78 = 184.61/x
  3. Step 3: Cross multiply
    404.10x = 605.78 × 184.61
  4. Step 4: Simplify right side
    404.10x = 111,833.05
  5. Step 5: Solve for x
    x = 111,833.05/404.10
  6. Step 6: Final answer
    x = 276.75

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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.