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Finding the Fourth Proportional to 627.88, 866.42 and 362.20

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Solution

The fourth proportional to 627.88, 866.42 and 362.20 is: 499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.88 : 866.42 = 362.20 : x
  2. Step 2: Convert to fraction form
    627.88/866.42 = 362.20/x
  3. Step 3: Cross multiply
    627.88x = 866.42 × 362.20
  4. Step 4: Simplify right side
    627.88x = 313,814.91
  5. Step 5: Solve for x
    x = 313,814.91/627.88
  6. Step 6: Final answer
    x = 499.80

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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.