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Finding the Fourth Proportional to 394.39, 589.32 and 271.68

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Solution

The fourth proportional to 394.39, 589.32 and 271.68 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.39 : 589.32 = 271.68 : x
  2. Step 2: Convert to fraction form
    394.39/589.32 = 271.68/x
  3. Step 3: Cross multiply
    394.39x = 589.32 × 271.68
  4. Step 4: Simplify right side
    394.39x = 160,106.46
  5. Step 5: Solve for x
    x = 160,106.46/394.39
  6. Step 6: Final answer
    x = 405.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.