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Finding the Fourth Proportional to 618.40, 853.19 and 356.41

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Solution

The fourth proportional to 618.40, 853.19 and 356.41 is: 491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 853.19 = 356.41 : x
  2. Step 2: Convert to fraction form
    618.40/853.19 = 356.41/x
  3. Step 3: Cross multiply
    618.40x = 853.19 × 356.41
  4. Step 4: Simplify right side
    618.40x = 304,083.67
  5. Step 5: Solve for x
    x = 304,083.67/618.40
  6. Step 6: Final answer
    x = 491.73

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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.