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Finding the Fourth Proportional to 634.68, 952.65 and 310.32

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Solution

The fourth proportional to 634.68, 952.65 and 310.32 is: 465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 952.65 = 310.32 : x
  2. Step 2: Convert to fraction form
    634.68/952.65 = 310.32/x
  3. Step 3: Cross multiply
    634.68x = 952.65 × 310.32
  4. Step 4: Simplify right side
    634.68x = 295,626.35
  5. Step 5: Solve for x
    x = 295,626.35/634.68
  6. Step 6: Final answer
    x = 465.79

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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.