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Finding the Fourth Proportional to 809.23, 1,213.70 and 224.26

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Solution

The fourth proportional to 809.23, 1,213.70 and 224.26 is: 336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.23 : 1,213.70 = 224.26 : x
  2. Step 2: Convert to fraction form
    809.23/1,213.70 = 224.26/x
  3. Step 3: Cross multiply
    809.23x = 1,213.70 × 224.26
  4. Step 4: Simplify right side
    809.23x = 272,184.36
  5. Step 5: Solve for x
    x = 272,184.36/809.23
  6. Step 6: Final answer
    x = 336.35

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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.