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Finding the Fourth Proportional to 408.30, 563.43 and 233.64

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Solution

The fourth proportional to 408.30, 563.43 and 233.64 is: 322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.30 : 563.43 = 233.64 : x
  2. Step 2: Convert to fraction form
    408.30/563.43 = 233.64/x
  3. Step 3: Cross multiply
    408.30x = 563.43 × 233.64
  4. Step 4: Simplify right side
    408.30x = 131,639.79
  5. Step 5: Solve for x
    x = 131,639.79/408.30
  6. Step 6: Final answer
    x = 322.41

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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.