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Finding the Fourth Proportional to 646.12, 969.15 and 213.25

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Solution

The fourth proportional to 646.12, 969.15 and 213.25 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 969.15 = 213.25 : x
  2. Step 2: Convert to fraction form
    646.12/969.15 = 213.25/x
  3. Step 3: Cross multiply
    646.12x = 969.15 × 213.25
  4. Step 4: Simplify right side
    646.12x = 206,671.24
  5. Step 5: Solve for x
    x = 206,671.24/646.12
  6. Step 6: Final answer
    x = 319.87

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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.