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Finding the Fourth Proportional to 634.94, 952.66 and 310.13

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Solution

The fourth proportional to 634.94, 952.66 and 310.13 is: 465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.94 : 952.66 = 310.13 : x
  2. Step 2: Convert to fraction form
    634.94/952.66 = 310.13/x
  3. Step 3: Cross multiply
    634.94x = 952.66 × 310.13
  4. Step 4: Simplify right side
    634.94x = 295,447.64
  5. Step 5: Solve for x
    x = 295,447.64/634.94
  6. Step 6: Final answer
    x = 465.32

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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.