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Finding the Fourth Proportional to 969.69, 1,454.22 and 320.25

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Solution

The fourth proportional to 969.69, 1,454.22 and 320.25 is: 480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.69 : 1,454.22 = 320.25 : x
  2. Step 2: Convert to fraction form
    969.69/1,454.22 = 320.25/x
  3. Step 3: Cross multiply
    969.69x = 1,454.22 × 320.25
  4. Step 4: Simplify right side
    969.69x = 465,713.96
  5. Step 5: Solve for x
    x = 465,713.96/969.69
  6. Step 6: Final answer
    x = 480.27

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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.