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Finding the Fourth Proportional to 600.82, 900.75 and 276.01

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Solution

The fourth proportional to 600.82, 900.75 and 276.01 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 900.75 = 276.01 : x
  2. Step 2: Convert to fraction form
    600.82/900.75 = 276.01/x
  3. Step 3: Cross multiply
    600.82x = 900.75 × 276.01
  4. Step 4: Simplify right side
    600.82x = 248,616.01
  5. Step 5: Solve for x
    x = 248,616.01/600.82
  6. Step 6: Final answer
    x = 413.79

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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.