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Finding the Fourth Proportional to 664.36, 995.34 and 338.92

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Solution

The fourth proportional to 664.36, 995.34 and 338.92 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 995.34 = 338.92 : x
  2. Step 2: Convert to fraction form
    664.36/995.34 = 338.92/x
  3. Step 3: Cross multiply
    664.36x = 995.34 × 338.92
  4. Step 4: Simplify right side
    664.36x = 337,340.63
  5. Step 5: Solve for x
    x = 337,340.63/664.36
  6. Step 6: Final answer
    x = 507.77

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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.