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Finding the Fourth Proportional to 350.40, 524.22 and 241.86

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Solution

The fourth proportional to 350.40, 524.22 and 241.86 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 524.22 = 241.86 : x
  2. Step 2: Convert to fraction form
    350.40/524.22 = 241.86/x
  3. Step 3: Cross multiply
    350.40x = 524.22 × 241.86
  4. Step 4: Simplify right side
    350.40x = 126,787.85
  5. Step 5: Solve for x
    x = 126,787.85/350.40
  6. Step 6: Final answer
    x = 361.84

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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.