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Finding the Fourth Proportional to 404, 605.44 and 364.04

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Solution

The fourth proportional to 404, 605.44 and 364.04 is: 545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 605.44 = 364.04 : x
  2. Step 2: Convert to fraction form
    404/605.44 = 364.04/x
  3. Step 3: Cross multiply
    404x = 605.44 × 364.04
  4. Step 4: Simplify right side
    404x = 220,404.38
  5. Step 5: Solve for x
    x = 220,404.38/404
  6. Step 6: Final answer
    x = 545.56

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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.