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Finding the Fourth Proportional to 627.81, 866.08 and 406.82

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Solution

The fourth proportional to 627.81, 866.08 and 406.82 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.81 : 866.08 = 406.82 : x
  2. Step 2: Convert to fraction form
    627.81/866.08 = 406.82/x
  3. Step 3: Cross multiply
    627.81x = 866.08 × 406.82
  4. Step 4: Simplify right side
    627.81x = 352,338.67
  5. Step 5: Solve for x
    x = 352,338.67/627.81
  6. Step 6: Final answer
    x = 561.22

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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.