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Finding the Fourth Proportional to 409.29, 564.86 and 234.63

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Solution

The fourth proportional to 409.29, 564.86 and 234.63 is: 323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 564.86 = 234.63 : x
  2. Step 2: Convert to fraction form
    409.29/564.86 = 234.63/x
  3. Step 3: Cross multiply
    409.29x = 564.86 × 234.63
  4. Step 4: Simplify right side
    409.29x = 132,533.10
  5. Step 5: Solve for x
    x = 132,533.10/409.29
  6. Step 6: Final answer
    x = 323.81

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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.