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Finding the Fourth Proportional to 279.80, 413.84 and 279.80

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Solution

The fourth proportional to 279.80, 413.84 and 279.80 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 413.84 = 279.80 : x
  2. Step 2: Convert to fraction form
    279.80/413.84 = 279.80/x
  3. Step 3: Cross multiply
    279.80x = 413.84 × 279.80
  4. Step 4: Simplify right side
    279.80x = 115,792.43
  5. Step 5: Solve for x
    x = 115,792.43/279.80
  6. Step 6: Final answer
    x = 413.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.