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Finding the Fourth Proportional to 409.31, 564.97 and 234.77

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Solution

The fourth proportional to 409.31, 564.97 and 234.77 is: 324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.97 = 234.77 : x
  2. Step 2: Convert to fraction form
    409.31/564.97 = 234.77/x
  3. Step 3: Cross multiply
    409.31x = 564.97 × 234.77
  4. Step 4: Simplify right side
    409.31x = 132,638.01
  5. Step 5: Solve for x
    x = 132,638.01/409.31
  6. Step 6: Final answer
    x = 324.05

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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.