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Finding the Fourth Proportional to 413.39, 567.44 and 376.33

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Solution

The fourth proportional to 413.39, 567.44 and 376.33 is: 516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 567.44 = 376.33 : x
  2. Step 2: Convert to fraction form
    413.39/567.44 = 376.33/x
  3. Step 3: Cross multiply
    413.39x = 567.44 × 376.33
  4. Step 4: Simplify right side
    413.39x = 213,544.70
  5. Step 5: Solve for x
    x = 213,544.70/413.39
  6. Step 6: Final answer
    x = 516.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.