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Finding the Fourth Proportional to 643.29, 965.07 and 210.42

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Solution

The fourth proportional to 643.29, 965.07 and 210.42 is: 315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.29 : 965.07 = 210.42 : x
  2. Step 2: Convert to fraction form
    643.29/965.07 = 210.42/x
  3. Step 3: Cross multiply
    643.29x = 965.07 × 210.42
  4. Step 4: Simplify right side
    643.29x = 203,070.03
  5. Step 5: Solve for x
    x = 203,070.03/643.29
  6. Step 6: Final answer
    x = 315.67

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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.