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Finding the Fourth Proportional to 674.24, 930.48 and 379.54

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Solution

The fourth proportional to 674.24, 930.48 and 379.54 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 930.48 = 379.54 : x
  2. Step 2: Convert to fraction form
    674.24/930.48 = 379.54/x
  3. Step 3: Cross multiply
    674.24x = 930.48 × 379.54
  4. Step 4: Simplify right side
    674.24x = 353,148.78
  5. Step 5: Solve for x
    x = 353,148.78/674.24
  6. Step 6: Final answer
    x = 523.78

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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.