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Finding the Fourth Proportional to 409.14, 564.69 and 234.60

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Solution

The fourth proportional to 409.14, 564.69 and 234.60 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 564.69 = 234.60 : x
  2. Step 2: Convert to fraction form
    409.14/564.69 = 234.60/x
  3. Step 3: Cross multiply
    409.14x = 564.69 × 234.60
  4. Step 4: Simplify right side
    409.14x = 132,476.27
  5. Step 5: Solve for x
    x = 132,476.27/409.14
  6. Step 6: Final answer
    x = 323.79

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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.