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Finding the Fourth Proportional to 679.13, 937.24 and 413.52

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Solution

The fourth proportional to 679.13, 937.24 and 413.52 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.13 : 937.24 = 413.52 : x
  2. Step 2: Convert to fraction form
    679.13/937.24 = 413.52/x
  3. Step 3: Cross multiply
    679.13x = 937.24 × 413.52
  4. Step 4: Simplify right side
    679.13x = 387,568.21
  5. Step 5: Solve for x
    x = 387,568.21/679.13
  6. Step 6: Final answer
    x = 570.68

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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.