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Finding the Fourth Proportional to 600.44, 900.96 and 275.76

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Solution

The fourth proportional to 600.44, 900.96 and 275.76 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.44 : 900.96 = 275.76 : x
  2. Step 2: Convert to fraction form
    600.44/900.96 = 275.76/x
  3. Step 3: Cross multiply
    600.44x = 900.96 × 275.76
  4. Step 4: Simplify right side
    600.44x = 248,448.73
  5. Step 5: Solve for x
    x = 248,448.73/600.44
  6. Step 6: Final answer
    x = 413.78

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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.