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Finding the Fourth Proportional to 635.28, 952.18 and 309.92

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Solution

The fourth proportional to 635.28, 952.18 and 309.92 is: 464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 952.18 = 309.92 : x
  2. Step 2: Convert to fraction form
    635.28/952.18 = 309.92/x
  3. Step 3: Cross multiply
    635.28x = 952.18 × 309.92
  4. Step 4: Simplify right side
    635.28x = 295,099.63
  5. Step 5: Solve for x
    x = 295,099.63/635.28
  6. Step 6: Final answer
    x = 464.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.