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Finding the Fourth Proportional to 413.50, 566.40 and 408.23

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Solution

The fourth proportional to 413.50, 566.40 and 408.23 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 566.40 = 408.23 : x
  2. Step 2: Convert to fraction form
    413.50/566.40 = 408.23/x
  3. Step 3: Cross multiply
    413.50x = 566.40 × 408.23
  4. Step 4: Simplify right side
    413.50x = 231,219.43
  5. Step 5: Solve for x
    x = 231,219.43/413.50
  6. Step 6: Final answer
    x = 559.18

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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.