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Finding the Fourth Proportional to 468.46, 702.33 and 224.75

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Solution

The fourth proportional to 468.46, 702.33 and 224.75 is: 336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.46 : 702.33 = 224.75 : x
  2. Step 2: Convert to fraction form
    468.46/702.33 = 224.75/x
  3. Step 3: Cross multiply
    468.46x = 702.33 × 224.75
  4. Step 4: Simplify right side
    468.46x = 157,848.67
  5. Step 5: Solve for x
    x = 157,848.67/468.46
  6. Step 6: Final answer
    x = 336.95

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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.