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Finding the Fourth Proportional to 627.98, 866.22 and 494.99

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Solution

The fourth proportional to 627.98, 866.22 and 494.99 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 866.22 = 494.99 : x
  2. Step 2: Convert to fraction form
    627.98/866.22 = 494.99/x
  3. Step 3: Cross multiply
    627.98x = 866.22 × 494.99
  4. Step 4: Simplify right side
    627.98x = 428,774.26
  5. Step 5: Solve for x
    x = 428,774.26/627.98
  6. Step 6: Final answer
    x = 682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.