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Finding the Fourth Proportional to 408.50, 563.74 and 224.50

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Solution

The fourth proportional to 408.50, 563.74 and 224.50 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 563.74 = 224.50 : x
  2. Step 2: Convert to fraction form
    408.50/563.74 = 224.50/x
  3. Step 3: Cross multiply
    408.50x = 563.74 × 224.50
  4. Step 4: Simplify right side
    408.50x = 126,559.63
  5. Step 5: Solve for x
    x = 126,559.63/408.50
  6. Step 6: Final answer
    x = 309.82

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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.