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Finding the Fourth Proportional to 490.77, 677.43 and 325.44

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Solution

The fourth proportional to 490.77, 677.43 and 325.44 is: 449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 677.43 = 325.44 : x
  2. Step 2: Convert to fraction form
    490.77/677.43 = 325.44/x
  3. Step 3: Cross multiply
    490.77x = 677.43 × 325.44
  4. Step 4: Simplify right side
    490.77x = 220,462.82
  5. Step 5: Solve for x
    x = 220,462.82/490.77
  6. Step 6: Final answer
    x = 449.22

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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.