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Finding the Fourth Proportional to 600.20, 900.38 and 275.66

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Solution

The fourth proportional to 600.20, 900.38 and 275.66 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 900.38 = 275.66 : x
  2. Step 2: Convert to fraction form
    600.20/900.38 = 275.66/x
  3. Step 3: Cross multiply
    600.20x = 900.38 × 275.66
  4. Step 4: Simplify right side
    600.20x = 248,198.75
  5. Step 5: Solve for x
    x = 248,198.75/600.20
  6. Step 6: Final answer
    x = 413.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.