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Finding the Fourth Proportional to 408.93, 564.23 and 231.86

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Solution

The fourth proportional to 408.93, 564.23 and 231.86 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.93 : 564.23 = 231.86 : x
  2. Step 2: Convert to fraction form
    408.93/564.23 = 231.86/x
  3. Step 3: Cross multiply
    408.93x = 564.23 × 231.86
  4. Step 4: Simplify right side
    408.93x = 130,821.51
  5. Step 5: Solve for x
    x = 130,821.51/408.93
  6. Step 6: Final answer
    x = 319.91

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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.