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Finding the Fourth Proportional to 635.87, 951.77 and 414.72

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Solution

The fourth proportional to 635.87, 951.77 and 414.72 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.87 : 951.77 = 414.72 : x
  2. Step 2: Convert to fraction form
    635.87/951.77 = 414.72/x
  3. Step 3: Cross multiply
    635.87x = 951.77 × 414.72
  4. Step 4: Simplify right side
    635.87x = 394,719.44
  5. Step 5: Solve for x
    x = 394,719.44/635.87
  6. Step 6: Final answer
    x = 620.76

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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.