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Finding the Fourth Proportional to 646.19, 969.38 and 213.38

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Solution

The fourth proportional to 646.19, 969.38 and 213.38 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 969.38 = 213.38 : x
  2. Step 2: Convert to fraction form
    646.19/969.38 = 213.38/x
  3. Step 3: Cross multiply
    646.19x = 969.38 × 213.38
  4. Step 4: Simplify right side
    646.19x = 206,845.24
  5. Step 5: Solve for x
    x = 206,845.24/646.19
  6. Step 6: Final answer
    x = 320.10

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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.