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Finding the Fourth Proportional to 805.75, 1,208.18 and 250.31

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Solution

The fourth proportional to 805.75, 1,208.18 and 250.31 is: 375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.75 : 1,208.18 = 250.31 : x
  2. Step 2: Convert to fraction form
    805.75/1,208.18 = 250.31/x
  3. Step 3: Cross multiply
    805.75x = 1,208.18 × 250.31
  4. Step 4: Simplify right side
    805.75x = 302,413.49
  5. Step 5: Solve for x
    x = 302,413.49/805.75
  6. Step 6: Final answer
    x = 375.32

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