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Finding the Fourth Proportional to 618.54, 853.16 and 397.14

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Solution

The fourth proportional to 618.54, 853.16 and 397.14 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.54 : 853.16 = 397.14 : x
  2. Step 2: Convert to fraction form
    618.54/853.16 = 397.14/x
  3. Step 3: Cross multiply
    618.54x = 853.16 × 397.14
  4. Step 4: Simplify right side
    618.54x = 338,823.96
  5. Step 5: Solve for x
    x = 338,823.96/618.54
  6. Step 6: Final answer
    x = 547.78

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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.