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Finding the Fourth Proportional to 634.71, 952.07 and 310.11

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Solution

The fourth proportional to 634.71, 952.07 and 310.11 is: 465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.71 : 952.07 = 310.11 : x
  2. Step 2: Convert to fraction form
    634.71/952.07 = 310.11/x
  3. Step 3: Cross multiply
    634.71x = 952.07 × 310.11
  4. Step 4: Simplify right side
    634.71x = 295,246.43
  5. Step 5: Solve for x
    x = 295,246.43/634.71
  6. Step 6: Final answer
    x = 465.17

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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.