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Finding the Fourth Proportional to 535.14, 738.46 and 295.82

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Solution

The fourth proportional to 535.14, 738.46 and 295.82 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 738.46 = 295.82 : x
  2. Step 2: Convert to fraction form
    535.14/738.46 = 295.82/x
  3. Step 3: Cross multiply
    535.14x = 738.46 × 295.82
  4. Step 4: Simplify right side
    535.14x = 218,452.34
  5. Step 5: Solve for x
    x = 218,452.34/535.14
  6. Step 6: Final answer
    x = 408.21

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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.