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Finding the Fourth Proportional to 618.03, 853.19 and 418.97

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Solution

The fourth proportional to 618.03, 853.19 and 418.97 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.03 : 853.19 = 418.97 : x
  2. Step 2: Convert to fraction form
    618.03/853.19 = 418.97/x
  3. Step 3: Cross multiply
    618.03x = 853.19 × 418.97
  4. Step 4: Simplify right side
    618.03x = 357,454.65
  5. Step 5: Solve for x
    x = 357,454.65/618.03
  6. Step 6: Final answer
    x = 578.38

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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.