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Finding the Fourth Proportional to 350.65, 525.78 and 241.15

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Solution

The fourth proportional to 350.65, 525.78 and 241.15 is: 361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.65 : 525.78 = 241.15 : x
  2. Step 2: Convert to fraction form
    350.65/525.78 = 241.15/x
  3. Step 3: Cross multiply
    350.65x = 525.78 × 241.15
  4. Step 4: Simplify right side
    350.65x = 126,791.85
  5. Step 5: Solve for x
    x = 126,791.85/350.65
  6. Step 6: Final answer
    x = 361.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.