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Finding the Fourth Proportional to 468.20, 702.64 and 251.96

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Solution

The fourth proportional to 468.20, 702.64 and 251.96 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 702.64 = 251.96 : x
  2. Step 2: Convert to fraction form
    468.20/702.64 = 251.96/x
  3. Step 3: Cross multiply
    468.20x = 702.64 × 251.96
  4. Step 4: Simplify right side
    468.20x = 177,037.17
  5. Step 5: Solve for x
    x = 177,037.17/468.20
  6. Step 6: Final answer
    x = 378.12

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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.