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Finding the Fourth Proportional to 468.67, 701.84 and 224.59

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Solution

The fourth proportional to 468.67, 701.84 and 224.59 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 701.84 = 224.59 : x
  2. Step 2: Convert to fraction form
    468.67/701.84 = 224.59/x
  3. Step 3: Cross multiply
    468.67x = 701.84 × 224.59
  4. Step 4: Simplify right side
    468.67x = 157,626.25
  5. Step 5: Solve for x
    x = 157,626.25/468.67
  6. Step 6: Final answer
    x = 336.33

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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.