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Finding the Fourth Proportional to 468.49, 702.46 and 251.95

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Solution

The fourth proportional to 468.49, 702.46 and 251.95 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.49 : 702.46 = 251.95 : x
  2. Step 2: Convert to fraction form
    468.49/702.46 = 251.95/x
  3. Step 3: Cross multiply
    468.49x = 702.46 × 251.95
  4. Step 4: Simplify right side
    468.49x = 176,984.80
  5. Step 5: Solve for x
    x = 176,984.80/468.49
  6. Step 6: Final answer
    x = 377.78

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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.