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Finding the Fourth Proportional to 638.47, 961.71 and 629.97

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Solution

The fourth proportional to 638.47, 961.71 and 629.97 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.47 : 961.71 = 629.97 : x
  2. Step 2: Convert to fraction form
    638.47/961.71 = 629.97/x
  3. Step 3: Cross multiply
    638.47x = 961.71 × 629.97
  4. Step 4: Simplify right side
    638.47x = 605,848.45
  5. Step 5: Solve for x
    x = 605,848.45/638.47
  6. Step 6: Final answer
    x = 948.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.