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Finding the Fourth Proportional to 646.02, 969.09 and 213.18

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Solution

The fourth proportional to 646.02, 969.09 and 213.18 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 969.09 = 213.18 : x
  2. Step 2: Convert to fraction form
    646.02/969.09 = 213.18/x
  3. Step 3: Cross multiply
    646.02x = 969.09 × 213.18
  4. Step 4: Simplify right side
    646.02x = 206,590.61
  5. Step 5: Solve for x
    x = 206,590.61/646.02
  6. Step 6: Final answer
    x = 319.79

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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.