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Finding the Fourth Proportional to 734.26, 1,101.84 and 323.41

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Solution

The fourth proportional to 734.26, 1,101.84 and 323.41 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,101.84 = 323.41 : x
  2. Step 2: Convert to fraction form
    734.26/1,101.84 = 323.41/x
  3. Step 3: Cross multiply
    734.26x = 1,101.84 × 323.41
  4. Step 4: Simplify right side
    734.26x = 356,346.07
  5. Step 5: Solve for x
    x = 356,346.07/734.26
  6. Step 6: Final answer
    x = 485.31

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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.