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Finding the Fourth Proportional to 468.11, 702.09 and 224.52

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Solution

The fourth proportional to 468.11, 702.09 and 224.52 is: 336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.11 : 702.09 = 224.52 : x
  2. Step 2: Convert to fraction form
    468.11/702.09 = 224.52/x
  3. Step 3: Cross multiply
    468.11x = 702.09 × 224.52
  4. Step 4: Simplify right side
    468.11x = 157,633.25
  5. Step 5: Solve for x
    x = 157,633.25/468.11
  6. Step 6: Final answer
    x = 336.75

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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.