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Finding the Fourth Proportional to 646.69, 969.84 and 321.97

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Solution

The fourth proportional to 646.69, 969.84 and 321.97 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.69 : 969.84 = 321.97 : x
  2. Step 2: Convert to fraction form
    646.69/969.84 = 321.97/x
  3. Step 3: Cross multiply
    646.69x = 969.84 × 321.97
  4. Step 4: Simplify right side
    646.69x = 312,259.38
  5. Step 5: Solve for x
    x = 312,259.38/646.69
  6. Step 6: Final answer
    x = 482.86

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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.