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Finding the Fourth Proportional to 409.27, 564.75 and 232.24

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Solution

The fourth proportional to 409.27, 564.75 and 232.24 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.27 : 564.75 = 232.24 : x
  2. Step 2: Convert to fraction form
    409.27/564.75 = 232.24/x
  3. Step 3: Cross multiply
    409.27x = 564.75 × 232.24
  4. Step 4: Simplify right side
    409.27x = 131,157.54
  5. Step 5: Solve for x
    x = 131,157.54/409.27
  6. Step 6: Final answer
    x = 320.47

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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.