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Finding the Fourth Proportional to 408.08, 563.09 and 233.42

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Solution

The fourth proportional to 408.08, 563.09 and 233.42 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.08 : 563.09 = 233.42 : x
  2. Step 2: Convert to fraction form
    408.08/563.09 = 233.42/x
  3. Step 3: Cross multiply
    408.08x = 563.09 × 233.42
  4. Step 4: Simplify right side
    408.08x = 131,432.49
  5. Step 5: Solve for x
    x = 131,432.49/408.08
  6. Step 6: Final answer
    x = 322.08

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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.