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Finding the Fourth Proportional to 468.24, 701.42 and 224.03

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Solution

The fourth proportional to 468.24, 701.42 and 224.03 is: 335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 701.42 = 224.03 : x
  2. Step 2: Convert to fraction form
    468.24/701.42 = 224.03/x
  3. Step 3: Cross multiply
    468.24x = 701.42 × 224.03
  4. Step 4: Simplify right side
    468.24x = 157,134.50
  5. Step 5: Solve for x
    x = 157,134.50/468.24
  6. Step 6: Final answer
    x = 335.59

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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.