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Finding the Fourth Proportional to 409.26, 564.71 and 234.57

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Solution

The fourth proportional to 409.26, 564.71 and 234.57 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 564.71 = 234.57 : x
  2. Step 2: Convert to fraction form
    409.26/564.71 = 234.57/x
  3. Step 3: Cross multiply
    409.26x = 564.71 × 234.57
  4. Step 4: Simplify right side
    409.26x = 132,460.03
  5. Step 5: Solve for x
    x = 132,460.03/409.26
  6. Step 6: Final answer
    x = 323.66

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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.