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Finding the Fourth Proportional to 298.80, 413.28 and 264.30

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Solution

The fourth proportional to 298.80, 413.28 and 264.30 is: 365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 413.28 = 264.30 : x
  2. Step 2: Convert to fraction form
    298.80/413.28 = 264.30/x
  3. Step 3: Cross multiply
    298.80x = 413.28 × 264.30
  4. Step 4: Simplify right side
    298.80x = 109,229.90
  5. Step 5: Solve for x
    x = 109,229.90/298.80
  6. Step 6: Final answer
    x = 365.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.