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Finding the Fourth Proportional to 600.54, 827.87 and 413.75

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Solution

The fourth proportional to 600.54, 827.87 and 413.75 is: 570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.54 : 827.87 = 413.75 : x
  2. Step 2: Convert to fraction form
    600.54/827.87 = 413.75/x
  3. Step 3: Cross multiply
    600.54x = 827.87 × 413.75
  4. Step 4: Simplify right side
    600.54x = 342,525.00
  5. Step 5: Solve for x
    x = 342,525.00/600.54
  6. Step 6: Final answer
    x = 570.36

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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.