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Finding the Fourth Proportional to 618.28, 852.78 and 408.10

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Solution

The fourth proportional to 618.28, 852.78 and 408.10 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 852.78 = 408.10 : x
  2. Step 2: Convert to fraction form
    618.28/852.78 = 408.10/x
  3. Step 3: Cross multiply
    618.28x = 852.78 × 408.10
  4. Step 4: Simplify right side
    618.28x = 348,019.52
  5. Step 5: Solve for x
    x = 348,019.52/618.28
  6. Step 6: Final answer
    x = 562.88

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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.