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Finding the Fourth Proportional to 618.09, 852.95 and 338.32

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Solution

The fourth proportional to 618.09, 852.95 and 338.32 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.09 : 852.95 = 338.32 : x
  2. Step 2: Convert to fraction form
    618.09/852.95 = 338.32/x
  3. Step 3: Cross multiply
    618.09x = 852.95 × 338.32
  4. Step 4: Simplify right side
    618.09x = 288,571.96
  5. Step 5: Solve for x
    x = 288,571.96/618.09
  6. Step 6: Final answer
    x = 466.88

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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.