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Finding the Fourth Proportional to 404, 605.56 and 383.80

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Solution

The fourth proportional to 404, 605.56 and 383.80 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 605.56 = 383.80 : x
  2. Step 2: Convert to fraction form
    404/605.56 = 383.80/x
  3. Step 3: Cross multiply
    404x = 605.56 × 383.80
  4. Step 4: Simplify right side
    404x = 232,413.93
  5. Step 5: Solve for x
    x = 232,413.93/404
  6. Step 6: Final answer
    x = 575.28

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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.