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Finding the Fourth Proportional to 635.85, 952.34 and 440.37

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Solution

The fourth proportional to 635.85, 952.34 and 440.37 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.85 : 952.34 = 440.37 : x
  2. Step 2: Convert to fraction form
    635.85/952.34 = 440.37/x
  3. Step 3: Cross multiply
    635.85x = 952.34 × 440.37
  4. Step 4: Simplify right side
    635.85x = 419,379.76
  5. Step 5: Solve for x
    x = 419,379.76/635.85
  6. Step 6: Final answer
    x = 659.56

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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.