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Finding the Fourth Proportional to 468.94, 704.22 and 252.68

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Solution

The fourth proportional to 468.94, 704.22 and 252.68 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 704.22 = 252.68 : x
  2. Step 2: Convert to fraction form
    468.94/704.22 = 252.68/x
  3. Step 3: Cross multiply
    468.94x = 704.22 × 252.68
  4. Step 4: Simplify right side
    468.94x = 177,942.31
  5. Step 5: Solve for x
    x = 177,942.31/468.94
  6. Step 6: Final answer
    x = 379.46

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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.