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Finding the Fourth Proportional to 664.68, 918.34 and 628.22

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Solution

The fourth proportional to 664.68, 918.34 and 628.22 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 918.34 = 628.22 : x
  2. Step 2: Convert to fraction form
    664.68/918.34 = 628.22/x
  3. Step 3: Cross multiply
    664.68x = 918.34 × 628.22
  4. Step 4: Simplify right side
    664.68x = 576,919.55
  5. Step 5: Solve for x
    x = 576,919.55/664.68
  6. Step 6: Final answer
    x = 867.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.