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Finding the Fourth Proportional to 535.22, 738.23 and 367.26

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Solution

The fourth proportional to 535.22, 738.23 and 367.26 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 738.23 = 367.26 : x
  2. Step 2: Convert to fraction form
    535.22/738.23 = 367.26/x
  3. Step 3: Cross multiply
    535.22x = 738.23 × 367.26
  4. Step 4: Simplify right side
    535.22x = 271,122.35
  5. Step 5: Solve for x
    x = 271,122.35/535.22
  6. Step 6: Final answer
    x = 506.56

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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.