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Finding the Fourth Proportional to 408.54, 563.64 and 233.78

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Solution

The fourth proportional to 408.54, 563.64 and 233.78 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 563.64 = 233.78 : x
  2. Step 2: Convert to fraction form
    408.54/563.64 = 233.78/x
  3. Step 3: Cross multiply
    408.54x = 563.64 × 233.78
  4. Step 4: Simplify right side
    408.54x = 131,767.76
  5. Step 5: Solve for x
    x = 131,767.76/408.54
  6. Step 6: Final answer
    x = 322.53

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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.