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Finding the Fourth Proportional to 646.26, 969.17 and 213.31

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Solution

The fourth proportional to 646.26, 969.17 and 213.31 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 969.17 = 213.31 : x
  2. Step 2: Convert to fraction form
    646.26/969.17 = 213.31/x
  3. Step 3: Cross multiply
    646.26x = 969.17 × 213.31
  4. Step 4: Simplify right side
    646.26x = 206,733.65
  5. Step 5: Solve for x
    x = 206,733.65/646.26
  6. Step 6: Final answer
    x = 319.89

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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.