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Finding the Fourth Proportional to 468.11, 701.82 and 224.80

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Solution

The fourth proportional to 468.11, 701.82 and 224.80 is: 337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.11 : 701.82 = 224.80 : x
  2. Step 2: Convert to fraction form
    468.11/701.82 = 224.80/x
  3. Step 3: Cross multiply
    468.11x = 701.82 × 224.80
  4. Step 4: Simplify right side
    468.11x = 157,769.77
  5. Step 5: Solve for x
    x = 157,769.77/468.11
  6. Step 6: Final answer
    x = 337.04

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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.