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Finding the Fourth Proportional to 635.32, 952.26 and 346.96

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Solution

The fourth proportional to 635.32, 952.26 and 346.96 is: 520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.32 : 952.26 = 346.96 : x
  2. Step 2: Convert to fraction form
    635.32/952.26 = 346.96/x
  3. Step 3: Cross multiply
    635.32x = 952.26 × 346.96
  4. Step 4: Simplify right side
    635.32x = 330,396.13
  5. Step 5: Solve for x
    x = 330,396.13/635.32
  6. Step 6: Final answer
    x = 520.05

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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.