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Finding the Fourth Proportional to 470.36, 704.84 and 196.06

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Solution

The fourth proportional to 470.36, 704.84 and 196.06 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 704.84 = 196.06 : x
  2. Step 2: Convert to fraction form
    470.36/704.84 = 196.06/x
  3. Step 3: Cross multiply
    470.36x = 704.84 × 196.06
  4. Step 4: Simplify right side
    470.36x = 138,190.93
  5. Step 5: Solve for x
    x = 138,190.93/470.36
  6. Step 6: Final answer
    x = 293.80

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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.