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Finding the Fourth Proportional to 409.48, 613.67 and 224.46

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Solution

The fourth proportional to 409.48, 613.67 and 224.46 is: 336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 613.67 = 224.46 : x
  2. Step 2: Convert to fraction form
    409.48/613.67 = 224.46/x
  3. Step 3: Cross multiply
    409.48x = 613.67 × 224.46
  4. Step 4: Simplify right side
    409.48x = 137,743.25
  5. Step 5: Solve for x
    x = 137,743.25/409.48
  6. Step 6: Final answer
    x = 336.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.