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Finding the Fourth Proportional to 552.26, 823.52 and 511.22

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Solution

The fourth proportional to 552.26, 823.52 and 511.22 is: 762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.26 : 823.52 = 511.22 : x
  2. Step 2: Convert to fraction form
    552.26/823.52 = 511.22/x
  3. Step 3: Cross multiply
    552.26x = 823.52 × 511.22
  4. Step 4: Simplify right side
    552.26x = 420,999.89
  5. Step 5: Solve for x
    x = 420,999.89/552.26
  6. Step 6: Final answer
    x = 762.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.