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Finding the Fourth Proportional to 634.68, 952.37 and 310.05

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Solution

The fourth proportional to 634.68, 952.37 and 310.05 is: 465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 952.37 = 310.05 : x
  2. Step 2: Convert to fraction form
    634.68/952.37 = 310.05/x
  3. Step 3: Cross multiply
    634.68x = 952.37 × 310.05
  4. Step 4: Simplify right side
    634.68x = 295,282.32
  5. Step 5: Solve for x
    x = 295,282.32/634.68
  6. Step 6: Final answer
    x = 465.25

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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.