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Finding the Fourth Proportional to 409.75, 565.47 and 235.09

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Solution

The fourth proportional to 409.75, 565.47 and 235.09 is: 324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 565.47 = 235.09 : x
  2. Step 2: Convert to fraction form
    409.75/565.47 = 235.09/x
  3. Step 3: Cross multiply
    409.75x = 565.47 × 235.09
  4. Step 4: Simplify right side
    409.75x = 132,936.34
  5. Step 5: Solve for x
    x = 132,936.34/409.75
  6. Step 6: Final answer
    x = 324.43

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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.