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Finding the Fourth Proportional to 490.87, 677.60 and 294.35

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Solution

The fourth proportional to 490.87, 677.60 and 294.35 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.87 : 677.60 = 294.35 : x
  2. Step 2: Convert to fraction form
    490.87/677.60 = 294.35/x
  3. Step 3: Cross multiply
    490.87x = 677.60 × 294.35
  4. Step 4: Simplify right side
    490.87x = 199,446.70
  5. Step 5: Solve for x
    x = 199,446.70/490.87
  6. Step 6: Final answer
    x = 406.31

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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.