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Finding the Fourth Proportional to 674.78, 930.96 and 394.92

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Solution

The fourth proportional to 674.78, 930.96 and 394.92 is: 544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.78 : 930.96 = 394.92 : x
  2. Step 2: Convert to fraction form
    674.78/930.96 = 394.92/x
  3. Step 3: Cross multiply
    674.78x = 930.96 × 394.92
  4. Step 4: Simplify right side
    674.78x = 367,654.72
  5. Step 5: Solve for x
    x = 367,654.72/674.78
  6. Step 6: Final answer
    x = 544.86

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Why These Related Problems?

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