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Finding the Fourth Proportional to 645.23, 968.00 and 212.39

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Solution

The fourth proportional to 645.23, 968.00 and 212.39 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 968.00 = 212.39 : x
  2. Step 2: Convert to fraction form
    645.23/968.00 = 212.39/x
  3. Step 3: Cross multiply
    645.23x = 968.00 × 212.39
  4. Step 4: Simplify right side
    645.23x = 205,592.46
  5. Step 5: Solve for x
    x = 205,592.46/645.23
  6. Step 6: Final answer
    x = 318.63

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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.