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Finding the Fourth Proportional to 409.19, 564.87 and 234.50

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Solution

The fourth proportional to 409.19, 564.87 and 234.50 is: 323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 564.87 = 234.50 : x
  2. Step 2: Convert to fraction form
    409.19/564.87 = 234.50/x
  3. Step 3: Cross multiply
    409.19x = 564.87 × 234.50
  4. Step 4: Simplify right side
    409.19x = 132,458.02
  5. Step 5: Solve for x
    x = 132,458.02/409.19
  6. Step 6: Final answer
    x = 323.71

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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.