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Finding the Fourth Proportional to 674.05, 930.09 and 408.55

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Solution

The fourth proportional to 674.05, 930.09 and 408.55 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.05 : 930.09 = 408.55 : x
  2. Step 2: Convert to fraction form
    674.05/930.09 = 408.55/x
  3. Step 3: Cross multiply
    674.05x = 930.09 × 408.55
  4. Step 4: Simplify right side
    674.05x = 379,988.27
  5. Step 5: Solve for x
    x = 379,988.27/674.05
  6. Step 6: Final answer
    x = 563.74

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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.