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Finding the Fourth Proportional to 535.41, 796.23 and 523.26

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Solution

The fourth proportional to 535.41, 796.23 and 523.26 is: 778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.41 : 796.23 = 523.26 : x
  2. Step 2: Convert to fraction form
    535.41/796.23 = 523.26/x
  3. Step 3: Cross multiply
    535.41x = 796.23 × 523.26
  4. Step 4: Simplify right side
    535.41x = 416,635.31
  5. Step 5: Solve for x
    x = 416,635.31/535.41
  6. Step 6: Final answer
    x = 778.16

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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.