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Finding the Fourth Proportional to 635.38, 952.70 and 289.04

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Solution

The fourth proportional to 635.38, 952.70 and 289.04 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 952.70 = 289.04 : x
  2. Step 2: Convert to fraction form
    635.38/952.70 = 289.04/x
  3. Step 3: Cross multiply
    635.38x = 952.70 × 289.04
  4. Step 4: Simplify right side
    635.38x = 275,362.20
  5. Step 5: Solve for x
    x = 275,362.20/635.38
  6. Step 6: Final answer
    x = 433.38

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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.