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Finding the Fourth Proportional to 627.71, 866.22 and 347.96

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Solution

The fourth proportional to 627.71, 866.22 and 347.96 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.71 : 866.22 = 347.96 : x
  2. Step 2: Convert to fraction form
    627.71/866.22 = 347.96/x
  3. Step 3: Cross multiply
    627.71x = 866.22 × 347.96
  4. Step 4: Simplify right side
    627.71x = 301,405.58
  5. Step 5: Solve for x
    x = 301,405.58/627.71
  6. Step 6: Final answer
    x = 480.17

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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.