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Finding the Fourth Proportional to 408.07, 563.11 and 233.42

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Solution

The fourth proportional to 408.07, 563.11 and 233.42 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.07 : 563.11 = 233.42 : x
  2. Step 2: Convert to fraction form
    408.07/563.11 = 233.42/x
  3. Step 3: Cross multiply
    408.07x = 563.11 × 233.42
  4. Step 4: Simplify right side
    408.07x = 131,438.32
  5. Step 5: Solve for x
    x = 131,438.32/408.07
  6. Step 6: Final answer
    x = 322.10

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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.