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Finding the Fourth Proportional to 674.27, 930.92 and 488.37

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Solution

The fourth proportional to 674.27, 930.92 and 488.37 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.27 : 930.92 = 488.37 : x
  2. Step 2: Convert to fraction form
    674.27/930.92 = 488.37/x
  3. Step 3: Cross multiply
    674.27x = 930.92 × 488.37
  4. Step 4: Simplify right side
    674.27x = 454,630.96
  5. Step 5: Solve for x
    x = 454,630.96/674.27
  6. Step 6: Final answer
    x = 674.26

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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.