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Finding the Fourth Proportional to 468.40, 702.61 and 224.66

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Solution

The fourth proportional to 468.40, 702.61 and 224.66 is: 336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 702.61 = 224.66 : x
  2. Step 2: Convert to fraction form
    468.40/702.61 = 224.66/x
  3. Step 3: Cross multiply
    468.40x = 702.61 × 224.66
  4. Step 4: Simplify right side
    468.40x = 157,843.73
  5. Step 5: Solve for x
    x = 157,843.73/468.40
  6. Step 6: Final answer
    x = 336.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.