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Finding the Fourth Proportional to 627.71, 866.16 and 362.12

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Solution

The fourth proportional to 627.71, 866.16 and 362.12 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.71 : 866.16 = 362.12 : x
  2. Step 2: Convert to fraction form
    627.71/866.16 = 362.12/x
  3. Step 3: Cross multiply
    627.71x = 866.16 × 362.12
  4. Step 4: Simplify right side
    627.71x = 313,654.40
  5. Step 5: Solve for x
    x = 313,654.40/627.71
  6. Step 6: Final answer
    x = 499.68

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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.