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Finding the Fourth Proportional to 635.24, 952.22 and 293.16

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Solution

The fourth proportional to 635.24, 952.22 and 293.16 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 952.22 = 293.16 : x
  2. Step 2: Convert to fraction form
    635.24/952.22 = 293.16/x
  3. Step 3: Cross multiply
    635.24x = 952.22 × 293.16
  4. Step 4: Simplify right side
    635.24x = 279,152.82
  5. Step 5: Solve for x
    x = 279,152.82/635.24
  6. Step 6: Final answer
    x = 439.44

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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.