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Finding the Fourth Proportional to 404.40, 550.56 and 400.80

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Solution

The fourth proportional to 404.40, 550.56 and 400.80 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.40 : 550.56 = 400.80 : x
  2. Step 2: Convert to fraction form
    404.40/550.56 = 400.80/x
  3. Step 3: Cross multiply
    404.40x = 550.56 × 400.80
  4. Step 4: Simplify right side
    404.40x = 220,664.45
  5. Step 5: Solve for x
    x = 220,664.45/404.40
  6. Step 6: Final answer
    x = 545.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.