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Finding the Fourth Proportional to 969.53, 1,454.41 and 311.18

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Solution

The fourth proportional to 969.53, 1,454.41 and 311.18 is: 466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.53 : 1,454.41 = 311.18 : x
  2. Step 2: Convert to fraction form
    969.53/1,454.41 = 311.18/x
  3. Step 3: Cross multiply
    969.53x = 1,454.41 × 311.18
  4. Step 4: Simplify right side
    969.53x = 452,583.30
  5. Step 5: Solve for x
    x = 452,583.30/969.53
  6. Step 6: Final answer
    x = 466.81

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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.