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Finding the Fourth Proportional to 635.36, 951.39 and 309.96

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Solution

The fourth proportional to 635.36, 951.39 and 309.96 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.36 : 951.39 = 309.96 : x
  2. Step 2: Convert to fraction form
    635.36/951.39 = 309.96/x
  3. Step 3: Cross multiply
    635.36x = 951.39 × 309.96
  4. Step 4: Simplify right side
    635.36x = 294,892.84
  5. Step 5: Solve for x
    x = 294,892.84/635.36
  6. Step 6: Final answer
    x = 464.14

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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.