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Finding the Fourth Proportional to 752.23, 1,128.33 and 232.20

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Solution

The fourth proportional to 752.23, 1,128.33 and 232.20 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.23 : 1,128.33 = 232.20 : x
  2. Step 2: Convert to fraction form
    752.23/1,128.33 = 232.20/x
  3. Step 3: Cross multiply
    752.23x = 1,128.33 × 232.20
  4. Step 4: Simplify right side
    752.23x = 261,998.23
  5. Step 5: Solve for x
    x = 261,998.23/752.23
  6. Step 6: Final answer
    x = 348.30

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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.