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Finding the Fourth Proportional to 535.70, 738.84 and 349.25

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Solution

The fourth proportional to 535.70, 738.84 and 349.25 is: 481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 738.84 = 349.25 : x
  2. Step 2: Convert to fraction form
    535.70/738.84 = 349.25/x
  3. Step 3: Cross multiply
    535.70x = 738.84 × 349.25
  4. Step 4: Simplify right side
    535.70x = 258,039.87
  5. Step 5: Solve for x
    x = 258,039.87/535.70
  6. Step 6: Final answer
    x = 481.69

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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.