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Finding the Fourth Proportional to 408.34, 563.49 and 233.68

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Solution

The fourth proportional to 408.34, 563.49 and 233.68 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 563.49 = 233.68 : x
  2. Step 2: Convert to fraction form
    408.34/563.49 = 233.68/x
  3. Step 3: Cross multiply
    408.34x = 563.49 × 233.68
  4. Step 4: Simplify right side
    408.34x = 131,674.93
  5. Step 5: Solve for x
    x = 131,674.93/408.34
  6. Step 6: Final answer
    x = 322.47

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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.