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Finding the Fourth Proportional to 490.20, 675.46 and 459.96

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Solution

The fourth proportional to 490.20, 675.46 and 459.96 is: 633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 675.46 = 459.96 : x
  2. Step 2: Convert to fraction form
    490.20/675.46 = 459.96/x
  3. Step 3: Cross multiply
    490.20x = 675.46 × 459.96
  4. Step 4: Simplify right side
    490.20x = 310,684.58
  5. Step 5: Solve for x
    x = 310,684.58/490.20
  6. Step 6: Final answer
    x = 633.79

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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.