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Finding the Fourth Proportional to 969.61, 1,454.52 and 320.20

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Solution

The fourth proportional to 969.61, 1,454.52 and 320.20 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.61 : 1,454.52 = 320.20 : x
  2. Step 2: Convert to fraction form
    969.61/1,454.52 = 320.20/x
  3. Step 3: Cross multiply
    969.61x = 1,454.52 × 320.20
  4. Step 4: Simplify right side
    969.61x = 465,737.30
  5. Step 5: Solve for x
    x = 465,737.30/969.61
  6. Step 6: Final answer
    x = 480.33

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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.