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Finding the Fourth Proportional to 627.84, 866.09 and 406.73

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Solution

The fourth proportional to 627.84, 866.09 and 406.73 is: 561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 866.09 = 406.73 : x
  2. Step 2: Convert to fraction form
    627.84/866.09 = 406.73/x
  3. Step 3: Cross multiply
    627.84x = 866.09 × 406.73
  4. Step 4: Simplify right side
    627.84x = 352,267.97
  5. Step 5: Solve for x
    x = 352,267.97/627.84
  6. Step 6: Final answer
    x = 561.08

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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.