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Finding the Fourth Proportional to 643.57, 965.47 and 210.73

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Solution

The fourth proportional to 643.57, 965.47 and 210.73 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 965.47 = 210.73 : x
  2. Step 2: Convert to fraction form
    643.57/965.47 = 210.73/x
  3. Step 3: Cross multiply
    643.57x = 965.47 × 210.73
  4. Step 4: Simplify right side
    643.57x = 203,450.04
  5. Step 5: Solve for x
    x = 203,450.04/643.57
  6. Step 6: Final answer
    x = 316.13

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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.