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Finding the Fourth Proportional to 618.56, 853.92 and 394.74

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Solution

The fourth proportional to 618.56, 853.92 and 394.74 is: 544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 853.92 = 394.74 : x
  2. Step 2: Convert to fraction form
    618.56/853.92 = 394.74/x
  3. Step 3: Cross multiply
    618.56x = 853.92 × 394.74
  4. Step 4: Simplify right side
    618.56x = 337,076.38
  5. Step 5: Solve for x
    x = 337,076.38/618.56
  6. Step 6: Final answer
    x = 544.94

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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.