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Finding the Fourth Proportional to 678.27, 935.85 and 379.49

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Solution

The fourth proportional to 678.27, 935.85 and 379.49 is: 523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.27 : 935.85 = 379.49 : x
  2. Step 2: Convert to fraction form
    678.27/935.85 = 379.49/x
  3. Step 3: Cross multiply
    678.27x = 935.85 × 379.49
  4. Step 4: Simplify right side
    678.27x = 355,142.46
  5. Step 5: Solve for x
    x = 355,142.46/678.27
  6. Step 6: Final answer
    x = 523.60

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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.