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Finding the Fourth Proportional to 635.49, 951.39 and 415.38

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Solution

The fourth proportional to 635.49, 951.39 and 415.38 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.49 : 951.39 = 415.38 : x
  2. Step 2: Convert to fraction form
    635.49/951.39 = 415.38/x
  3. Step 3: Cross multiply
    635.49x = 951.39 × 415.38
  4. Step 4: Simplify right side
    635.49x = 395,188.38
  5. Step 5: Solve for x
    x = 395,188.38/635.49
  6. Step 6: Final answer
    x = 621.86

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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.