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Finding the Fourth Proportional to 352.26, 485.46 and 269.04

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Solution

The fourth proportional to 352.26, 485.46 and 269.04 is: 370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 485.46 = 269.04 : x
  2. Step 2: Convert to fraction form
    352.26/485.46 = 269.04/x
  3. Step 3: Cross multiply
    352.26x = 485.46 × 269.04
  4. Step 4: Simplify right side
    352.26x = 130,608.16
  5. Step 5: Solve for x
    x = 130,608.16/352.26
  6. Step 6: Final answer
    x = 370.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.