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Finding the Fourth Proportional to 646.30, 968.66 and 320.97

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Solution

The fourth proportional to 646.30, 968.66 and 320.97 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 968.66 = 320.97 : x
  2. Step 2: Convert to fraction form
    646.30/968.66 = 320.97/x
  3. Step 3: Cross multiply
    646.30x = 968.66 × 320.97
  4. Step 4: Simplify right side
    646.30x = 310,910.80
  5. Step 5: Solve for x
    x = 310,910.80/646.30
  6. Step 6: Final answer
    x = 481.06

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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.