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Finding the Fourth Proportional to 618.82, 853.99 and 339.05

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Solution

The fourth proportional to 618.82, 853.99 and 339.05 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.82 : 853.99 = 339.05 : x
  2. Step 2: Convert to fraction form
    618.82/853.99 = 339.05/x
  3. Step 3: Cross multiply
    618.82x = 853.99 × 339.05
  4. Step 4: Simplify right side
    618.82x = 289,546.60
  5. Step 5: Solve for x
    x = 289,546.60/618.82
  6. Step 6: Final answer
    x = 467.90

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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.