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Finding the Fourth Proportional to 664.06, 995.41 and 230.98

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Solution

The fourth proportional to 664.06, 995.41 and 230.98 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 995.41 = 230.98 : x
  2. Step 2: Convert to fraction form
    664.06/995.41 = 230.98/x
  3. Step 3: Cross multiply
    664.06x = 995.41 × 230.98
  4. Step 4: Simplify right side
    664.06x = 229,919.80
  5. Step 5: Solve for x
    x = 229,919.80/664.06
  6. Step 6: Final answer
    x = 346.23

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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.