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Finding the Fourth Proportional to 408.58, 563.78 and 233.92

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Solution

The fourth proportional to 408.58, 563.78 and 233.92 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.58 : 563.78 = 233.92 : x
  2. Step 2: Convert to fraction form
    408.58/563.78 = 233.92/x
  3. Step 3: Cross multiply
    408.58x = 563.78 × 233.92
  4. Step 4: Simplify right side
    408.58x = 131,875.43
  5. Step 5: Solve for x
    x = 131,875.43/408.58
  6. Step 6: Final answer
    x = 322.77

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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.