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Finding the Fourth Proportional to 911.45, 1,367.31 and 334.28

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Solution

The fourth proportional to 911.45, 1,367.31 and 334.28 is: 501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.45 : 1,367.31 = 334.28 : x
  2. Step 2: Convert to fraction form
    911.45/1,367.31 = 334.28/x
  3. Step 3: Cross multiply
    911.45x = 1,367.31 × 334.28
  4. Step 4: Simplify right side
    911.45x = 457,064.39
  5. Step 5: Solve for x
    x = 457,064.39/911.45
  6. Step 6: Final answer
    x = 501.47

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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.