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Finding the Fourth Proportional to 643.31, 964.92 and 447.74

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Solution

The fourth proportional to 643.31, 964.92 and 447.74 is: 671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.31 : 964.92 = 447.74 : x
  2. Step 2: Convert to fraction form
    643.31/964.92 = 447.74/x
  3. Step 3: Cross multiply
    643.31x = 964.92 × 447.74
  4. Step 4: Simplify right side
    643.31x = 432,033.75
  5. Step 5: Solve for x
    x = 432,033.75/643.31
  6. Step 6: Final answer
    x = 671.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.