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Finding the Fourth Proportional to 600.24, 827.78 and 413.94

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Solution

The fourth proportional to 600.24, 827.78 and 413.94 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 827.78 = 413.94 : x
  2. Step 2: Convert to fraction form
    600.24/827.78 = 413.94/x
  3. Step 3: Cross multiply
    600.24x = 827.78 × 413.94
  4. Step 4: Simplify right side
    600.24x = 342,649.18
  5. Step 5: Solve for x
    x = 342,649.18/600.24
  6. Step 6: Final answer
    x = 570.85

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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.