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Finding the Fourth Proportional to 408.47, 563.69 and 233.83

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Solution

The fourth proportional to 408.47, 563.69 and 233.83 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 563.69 = 233.83 : x
  2. Step 2: Convert to fraction form
    408.47/563.69 = 233.83/x
  3. Step 3: Cross multiply
    408.47x = 563.69 × 233.83
  4. Step 4: Simplify right side
    408.47x = 131,803.65
  5. Step 5: Solve for x
    x = 131,803.65/408.47
  6. Step 6: Final answer
    x = 322.68

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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.