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Finding the Fourth Proportional to 409.30, 564.77 and 232.27

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Solution

The fourth proportional to 409.30, 564.77 and 232.27 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 564.77 = 232.27 : x
  2. Step 2: Convert to fraction form
    409.30/564.77 = 232.27/x
  3. Step 3: Cross multiply
    409.30x = 564.77 × 232.27
  4. Step 4: Simplify right side
    409.30x = 131,181.97
  5. Step 5: Solve for x
    x = 131,181.97/409.30
  6. Step 6: Final answer
    x = 320.51

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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.