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Finding the Fourth Proportional to 679.36, 937.27 and 413.69

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Solution

The fourth proportional to 679.36, 937.27 and 413.69 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.36 : 937.27 = 413.69 : x
  2. Step 2: Convert to fraction form
    679.36/937.27 = 413.69/x
  3. Step 3: Cross multiply
    679.36x = 937.27 × 413.69
  4. Step 4: Simplify right side
    679.36x = 387,744.28
  5. Step 5: Solve for x
    x = 387,744.28/679.36
  6. Step 6: Final answer
    x = 570.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.