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Finding the Fourth Proportional to 627.71, 866.23 and 406.65

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Solution

The fourth proportional to 627.71, 866.23 and 406.65 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.71 : 866.23 = 406.65 : x
  2. Step 2: Convert to fraction form
    627.71/866.23 = 406.65/x
  3. Step 3: Cross multiply
    627.71x = 866.23 × 406.65
  4. Step 4: Simplify right side
    627.71x = 352,251.41
  5. Step 5: Solve for x
    x = 352,251.41/627.71
  6. Step 6: Final answer
    x = 561.17

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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.