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Finding the Fourth Proportional to 298.21, 445.16 and 276.85

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Solution

The fourth proportional to 298.21, 445.16 and 276.85 is: 413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.21 : 445.16 = 276.85 : x
  2. Step 2: Convert to fraction form
    298.21/445.16 = 276.85/x
  3. Step 3: Cross multiply
    298.21x = 445.16 × 276.85
  4. Step 4: Simplify right side
    298.21x = 123,242.55
  5. Step 5: Solve for x
    x = 123,242.55/298.21
  6. Step 6: Final answer
    x = 413.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.