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Finding the Fourth Proportional to 646.24, 969.50 and 213.44

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Solution

The fourth proportional to 646.24, 969.50 and 213.44 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 969.50 = 213.44 : x
  2. Step 2: Convert to fraction form
    646.24/969.50 = 213.44/x
  3. Step 3: Cross multiply
    646.24x = 969.50 × 213.44
  4. Step 4: Simplify right side
    646.24x = 206,930.08
  5. Step 5: Solve for x
    x = 206,930.08/646.24
  6. Step 6: Final answer
    x = 320.21

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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.