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Finding the Fourth Proportional to 618.84, 853.97 and 397.71

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Solution

The fourth proportional to 618.84, 853.97 and 397.71 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 853.97 = 397.71 : x
  2. Step 2: Convert to fraction form
    618.84/853.97 = 397.71/x
  3. Step 3: Cross multiply
    618.84x = 853.97 × 397.71
  4. Step 4: Simplify right side
    618.84x = 339,630.42
  5. Step 5: Solve for x
    x = 339,630.42/618.84
  6. Step 6: Final answer
    x = 548.82

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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.