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Finding the Fourth Proportional to 618.14, 852.78 and 408.62

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Solution

The fourth proportional to 618.14, 852.78 and 408.62 is: 563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 852.78 = 408.62 : x
  2. Step 2: Convert to fraction form
    618.14/852.78 = 408.62/x
  3. Step 3: Cross multiply
    618.14x = 852.78 × 408.62
  4. Step 4: Simplify right side
    618.14x = 348,462.96
  5. Step 5: Solve for x
    x = 348,462.96/618.14
  6. Step 6: Final answer
    x = 563.73

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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.