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Finding the Fourth Proportional to 634.62, 952.24 and 309.81

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Solution

The fourth proportional to 634.62, 952.24 and 309.81 is: 464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.62 : 952.24 = 309.81 : x
  2. Step 2: Convert to fraction form
    634.62/952.24 = 309.81/x
  3. Step 3: Cross multiply
    634.62x = 952.24 × 309.81
  4. Step 4: Simplify right side
    634.62x = 295,013.47
  5. Step 5: Solve for x
    x = 295,013.47/634.62
  6. Step 6: Final answer
    x = 464.87

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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.