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Finding the Fourth Proportional to 599.68, 899.97 and 275.27

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Solution

The fourth proportional to 599.68, 899.97 and 275.27 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.68 : 899.97 = 275.27 : x
  2. Step 2: Convert to fraction form
    599.68/899.97 = 275.27/x
  3. Step 3: Cross multiply
    599.68x = 899.97 × 275.27
  4. Step 4: Simplify right side
    599.68x = 247,735.96
  5. Step 5: Solve for x
    x = 247,735.96/599.68
  6. Step 6: Final answer
    x = 413.12

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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.