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Finding the Fourth Proportional to 394.68, 591.76 and 221.47

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Solution

The fourth proportional to 394.68, 591.76 and 221.47 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.68 : 591.76 = 221.47 : x
  2. Step 2: Convert to fraction form
    394.68/591.76 = 221.47/x
  3. Step 3: Cross multiply
    394.68x = 591.76 × 221.47
  4. Step 4: Simplify right side
    394.68x = 131,057.09
  5. Step 5: Solve for x
    x = 131,057.09/394.68
  6. Step 6: Final answer
    x = 332.06

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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.