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Finding the Fourth Proportional to 599.97, 900.02 and 275.43

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Solution

The fourth proportional to 599.97, 900.02 and 275.43 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.97 : 900.02 = 275.43 : x
  2. Step 2: Convert to fraction form
    599.97/900.02 = 275.43/x
  3. Step 3: Cross multiply
    599.97x = 900.02 × 275.43
  4. Step 4: Simplify right side
    599.97x = 247,891.13
  5. Step 5: Solve for x
    x = 247,891.13/599.97
  6. Step 6: Final answer
    x = 413.17

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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.