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Finding the Fourth Proportional to 635.34, 952.16 and 431.22

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Solution

The fourth proportional to 635.34, 952.16 and 431.22 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 952.16 = 431.22 : x
  2. Step 2: Convert to fraction form
    635.34/952.16 = 431.22/x
  3. Step 3: Cross multiply
    635.34x = 952.16 × 431.22
  4. Step 4: Simplify right side
    635.34x = 410,591.85
  5. Step 5: Solve for x
    x = 410,591.85/635.34
  6. Step 6: Final answer
    x = 646.25

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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.