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Finding the Fourth Proportional to 490.25, 677.36 and 462.92

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Solution

The fourth proportional to 490.25, 677.36 and 462.92 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 677.36 = 462.92 : x
  2. Step 2: Convert to fraction form
    490.25/677.36 = 462.92/x
  3. Step 3: Cross multiply
    490.25x = 677.36 × 462.92
  4. Step 4: Simplify right side
    490.25x = 313,561.26
  5. Step 5: Solve for x
    x = 313,561.26/490.25
  6. Step 6: Final answer
    x = 639.59

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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.