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Finding the Fourth Proportional to 297.99, 408.20 and 294.75

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Solution

The fourth proportional to 297.99, 408.20 and 294.75 is: 403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 408.20 = 294.75 : x
  2. Step 2: Convert to fraction form
    297.99/408.20 = 294.75/x
  3. Step 3: Cross multiply
    297.99x = 408.20 × 294.75
  4. Step 4: Simplify right side
    297.99x = 120,315.48
  5. Step 5: Solve for x
    x = 120,315.48/297.99
  6. Step 6: Final answer
    x = 403.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.