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Finding the Fourth Proportional to 674.46, 930.81 and 394.79

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Solution

The fourth proportional to 674.46, 930.81 and 394.79 is: 544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.46 : 930.81 = 394.79 : x
  2. Step 2: Convert to fraction form
    674.46/930.81 = 394.79/x
  3. Step 3: Cross multiply
    674.46x = 930.81 × 394.79
  4. Step 4: Simplify right side
    674.46x = 367,471.31
  5. Step 5: Solve for x
    x = 367,471.31/674.46
  6. Step 6: Final answer
    x = 544.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.