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Finding the Fourth Proportional to 734.53, 1,102.09 and 323.38

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Solution

The fourth proportional to 734.53, 1,102.09 and 323.38 is: 485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.53 : 1,102.09 = 323.38 : x
  2. Step 2: Convert to fraction form
    734.53/1,102.09 = 323.38/x
  3. Step 3: Cross multiply
    734.53x = 1,102.09 × 323.38
  4. Step 4: Simplify right side
    734.53x = 356,395.53
  5. Step 5: Solve for x
    x = 356,395.53/734.53
  6. Step 6: Final answer
    x = 485.20

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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.