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Finding the Fourth Proportional to 408.96, 564.14 and 259.31

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Solution

The fourth proportional to 408.96, 564.14 and 259.31 is: 357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 564.14 = 259.31 : x
  2. Step 2: Convert to fraction form
    408.96/564.14 = 259.31/x
  3. Step 3: Cross multiply
    408.96x = 564.14 × 259.31
  4. Step 4: Simplify right side
    408.96x = 146,286.89
  5. Step 5: Solve for x
    x = 146,286.89/408.96
  6. Step 6: Final answer
    x = 357.71

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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.