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Finding the Fourth Proportional to 535.23, 738.62 and 295.96

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Solution

The fourth proportional to 535.23, 738.62 and 295.96 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 738.62 = 295.96 : x
  2. Step 2: Convert to fraction form
    535.23/738.62 = 295.96/x
  3. Step 3: Cross multiply
    535.23x = 738.62 × 295.96
  4. Step 4: Simplify right side
    535.23x = 218,596.80
  5. Step 5: Solve for x
    x = 218,596.80/535.23
  6. Step 6: Final answer
    x = 408.42

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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.