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Finding the Fourth Proportional to 413.51, 617.49 and 367.34

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Solution

The fourth proportional to 413.51, 617.49 and 367.34 is: 548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.51 : 617.49 = 367.34 : x
  2. Step 2: Convert to fraction form
    413.51/617.49 = 367.34/x
  3. Step 3: Cross multiply
    413.51x = 617.49 × 367.34
  4. Step 4: Simplify right side
    413.51x = 226,825.69
  5. Step 5: Solve for x
    x = 226,825.69/413.51
  6. Step 6: Final answer
    x = 548.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.