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Finding the Fourth Proportional to 734.26, 1,100.66 and 301.72

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Solution

The fourth proportional to 734.26, 1,100.66 and 301.72 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,100.66 = 301.72 : x
  2. Step 2: Convert to fraction form
    734.26/1,100.66 = 301.72/x
  3. Step 3: Cross multiply
    734.26x = 1,100.66 × 301.72
  4. Step 4: Simplify right side
    734.26x = 332,085.63
  5. Step 5: Solve for x
    x = 332,085.63/734.26
  6. Step 6: Final answer
    x = 452.28

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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.