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Finding the Fourth Proportional to 409.24, 564.73 and 232.21

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Solution

The fourth proportional to 409.24, 564.73 and 232.21 is: 320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.73 = 232.21 : x
  2. Step 2: Convert to fraction form
    409.24/564.73 = 232.21/x
  3. Step 3: Cross multiply
    409.24x = 564.73 × 232.21
  4. Step 4: Simplify right side
    409.24x = 131,135.95
  5. Step 5: Solve for x
    x = 131,135.95/409.24
  6. Step 6: Final answer
    x = 320.44

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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.