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Finding the Fourth Proportional to 350.32, 524.97 and 241.24

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Solution

The fourth proportional to 350.32, 524.97 and 241.24 is: 361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.32 : 524.97 = 241.24 : x
  2. Step 2: Convert to fraction form
    350.32/524.97 = 241.24/x
  3. Step 3: Cross multiply
    350.32x = 524.97 × 241.24
  4. Step 4: Simplify right side
    350.32x = 126,643.76
  5. Step 5: Solve for x
    x = 126,643.76/350.32
  6. Step 6: Final answer
    x = 361.51

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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.