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Finding the Fourth Proportional to 408.05, 564.00 and 298.29

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Solution

The fourth proportional to 408.05, 564.00 and 298.29 is: 412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.05 : 564.00 = 298.29 : x
  2. Step 2: Convert to fraction form
    408.05/564.00 = 298.29/x
  3. Step 3: Cross multiply
    408.05x = 564.00 × 298.29
  4. Step 4: Simplify right side
    408.05x = 168,236.56
  5. Step 5: Solve for x
    x = 168,236.56/408.05
  6. Step 6: Final answer
    x = 412.30

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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.