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Finding the Fourth Proportional to 627.82, 866.40 and 362.32

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Solution

The fourth proportional to 627.82, 866.40 and 362.32 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 866.40 = 362.32 : x
  2. Step 2: Convert to fraction form
    627.82/866.40 = 362.32/x
  3. Step 3: Cross multiply
    627.82x = 866.40 × 362.32
  4. Step 4: Simplify right side
    627.82x = 313,914.05
  5. Step 5: Solve for x
    x = 313,914.05/627.82
  6. Step 6: Final answer
    x = 500.01

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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.