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Finding the Fourth Proportional to 490.70, 677.19 and 294.20

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Solution

The fourth proportional to 490.70, 677.19 and 294.20 is: 406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 677.19 = 294.20 : x
  2. Step 2: Convert to fraction form
    490.70/677.19 = 294.20/x
  3. Step 3: Cross multiply
    490.70x = 677.19 × 294.20
  4. Step 4: Simplify right side
    490.70x = 199,229.30
  5. Step 5: Solve for x
    x = 199,229.30/490.70
  6. Step 6: Final answer
    x = 406.01

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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.