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Finding the Fourth Proportional to 469.97, 704.57 and 196.26

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Solution

The fourth proportional to 469.97, 704.57 and 196.26 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.97 : 704.57 = 196.26 : x
  2. Step 2: Convert to fraction form
    469.97/704.57 = 196.26/x
  3. Step 3: Cross multiply
    469.97x = 704.57 × 196.26
  4. Step 4: Simplify right side
    469.97x = 138,277.93
  5. Step 5: Solve for x
    x = 138,277.93/469.97
  6. Step 6: Final answer
    x = 294.23

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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.