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Finding the Fourth Proportional to 408.53, 563.81 and 233.84

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Solution

The fourth proportional to 408.53, 563.81 and 233.84 is: 322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 563.81 = 233.84 : x
  2. Step 2: Convert to fraction form
    408.53/563.81 = 233.84/x
  3. Step 3: Cross multiply
    408.53x = 563.81 × 233.84
  4. Step 4: Simplify right side
    408.53x = 131,841.57
  5. Step 5: Solve for x
    x = 131,841.57/408.53
  6. Step 6: Final answer
    x = 322.72

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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.