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Finding the Fourth Proportional to 664.61, 994.68 and 390.22

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Solution

The fourth proportional to 664.61, 994.68 and 390.22 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 994.68 = 390.22 : x
  2. Step 2: Convert to fraction form
    664.61/994.68 = 390.22/x
  3. Step 3: Cross multiply
    664.61x = 994.68 × 390.22
  4. Step 4: Simplify right side
    664.61x = 388,141.54
  5. Step 5: Solve for x
    x = 388,141.54/664.61
  6. Step 6: Final answer
    x = 584.02

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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.