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Finding the Fourth Proportional to 618.78, 853.86 and 356.82

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Solution

The fourth proportional to 618.78, 853.86 and 356.82 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 853.86 = 356.82 : x
  2. Step 2: Convert to fraction form
    618.78/853.86 = 356.82/x
  3. Step 3: Cross multiply
    618.78x = 853.86 × 356.82
  4. Step 4: Simplify right side
    618.78x = 304,674.33
  5. Step 5: Solve for x
    x = 304,674.33/618.78
  6. Step 6: Final answer
    x = 492.38

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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.