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Finding the Fourth Proportional to 600.51, 829.49 and 413.68

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Solution

The fourth proportional to 600.51, 829.49 and 413.68 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.51 : 829.49 = 413.68 : x
  2. Step 2: Convert to fraction form
    600.51/829.49 = 413.68/x
  3. Step 3: Cross multiply
    600.51x = 829.49 × 413.68
  4. Step 4: Simplify right side
    600.51x = 343,143.42
  5. Step 5: Solve for x
    x = 343,143.42/600.51
  6. Step 6: Final answer
    x = 571.42

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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.