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Finding the Fourth Proportional to 618.03, 852.89 and 338.27

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Solution

The fourth proportional to 618.03, 852.89 and 338.27 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.03 : 852.89 = 338.27 : x
  2. Step 2: Convert to fraction form
    618.03/852.89 = 338.27/x
  3. Step 3: Cross multiply
    618.03x = 852.89 × 338.27
  4. Step 4: Simplify right side
    618.03x = 288,501.14
  5. Step 5: Solve for x
    x = 288,501.14/618.03
  6. Step 6: Final answer
    x = 466.81

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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.