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Finding the Fourth Proportional to 618.02, 852.86 and 338.25

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Solution

The fourth proportional to 618.02, 852.86 and 338.25 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.02 : 852.86 = 338.25 : x
  2. Step 2: Convert to fraction form
    618.02/852.86 = 338.25/x
  3. Step 3: Cross multiply
    618.02x = 852.86 × 338.25
  4. Step 4: Simplify right side
    618.02x = 288,479.90
  5. Step 5: Solve for x
    x = 288,479.90/618.02
  6. Step 6: Final answer
    x = 466.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.