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Finding the Fourth Proportional to 635.22, 951.99 and 470.25

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Solution

The fourth proportional to 635.22, 951.99 and 470.25 is: 704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 951.99 = 470.25 : x
  2. Step 2: Convert to fraction form
    635.22/951.99 = 470.25/x
  3. Step 3: Cross multiply
    635.22x = 951.99 × 470.25
  4. Step 4: Simplify right side
    635.22x = 447,673.30
  5. Step 5: Solve for x
    x = 447,673.30/635.22
  6. Step 6: Final answer
    x = 704.75

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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.