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Finding the Fourth Proportional to 645.54, 968.43 and 212.82

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Solution

The fourth proportional to 645.54, 968.43 and 212.82 is: 319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.54 : 968.43 = 212.82 : x
  2. Step 2: Convert to fraction form
    645.54/968.43 = 212.82/x
  3. Step 3: Cross multiply
    645.54x = 968.43 × 212.82
  4. Step 4: Simplify right side
    645.54x = 206,101.27
  5. Step 5: Solve for x
    x = 206,101.27/645.54
  6. Step 6: Final answer
    x = 319.27

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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.