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Finding the Fourth Proportional to 618.22, 853.16 and 338.47

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Solution

The fourth proportional to 618.22, 853.16 and 338.47 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 853.16 = 338.47 : x
  2. Step 2: Convert to fraction form
    618.22/853.16 = 338.47/x
  3. Step 3: Cross multiply
    618.22x = 853.16 × 338.47
  4. Step 4: Simplify right side
    618.22x = 288,766.51
  5. Step 5: Solve for x
    x = 288,766.51/618.22
  6. Step 6: Final answer
    x = 467.09

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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.