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Finding the Fourth Proportional to 664.48, 995.46 and 389.92

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Solution

The fourth proportional to 664.48, 995.46 and 389.92 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 995.46 = 389.92 : x
  2. Step 2: Convert to fraction form
    664.48/995.46 = 389.92/x
  3. Step 3: Cross multiply
    664.48x = 995.46 × 389.92
  4. Step 4: Simplify right side
    664.48x = 388,149.76
  5. Step 5: Solve for x
    x = 388,149.76/664.48
  6. Step 6: Final answer
    x = 584.14

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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.