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Finding the Fourth Proportional to 736.26, 1,104.27 and 216.17

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Solution

The fourth proportional to 736.26, 1,104.27 and 216.17 is: 324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,104.27 = 216.17 : x
  2. Step 2: Convert to fraction form
    736.26/1,104.27 = 216.17/x
  3. Step 3: Cross multiply
    736.26x = 1,104.27 × 216.17
  4. Step 4: Simplify right side
    736.26x = 238,707.85
  5. Step 5: Solve for x
    x = 238,707.85/736.26
  6. Step 6: Final answer
    x = 324.22

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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.