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Finding the Fourth Proportional to 600.12, 827.88 and 413.87

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Solution

The fourth proportional to 600.12, 827.88 and 413.87 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 827.88 = 413.87 : x
  2. Step 2: Convert to fraction form
    600.12/827.88 = 413.87/x
  3. Step 3: Cross multiply
    600.12x = 827.88 × 413.87
  4. Step 4: Simplify right side
    600.12x = 342,630.56
  5. Step 5: Solve for x
    x = 342,630.56/600.12
  6. Step 6: Final answer
    x = 570.94

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1.5x scale

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.