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Finding the Fourth Proportional to 468.22, 701.82 and 224.41

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Solution

The fourth proportional to 468.22, 701.82 and 224.41 is: 336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 701.82 = 224.41 : x
  2. Step 2: Convert to fraction form
    468.22/701.82 = 224.41/x
  3. Step 3: Cross multiply
    468.22x = 701.82 × 224.41
  4. Step 4: Simplify right side
    468.22x = 157,495.43
  5. Step 5: Solve for x
    x = 157,495.43/468.22
  6. Step 6: Final answer
    x = 336.37

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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.