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Finding the Fourth Proportional to 469.74, 704.45 and 195.75

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Solution

The fourth proportional to 469.74, 704.45 and 195.75 is: 293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 704.45 = 195.75 : x
  2. Step 2: Convert to fraction form
    469.74/704.45 = 195.75/x
  3. Step 3: Cross multiply
    469.74x = 704.45 × 195.75
  4. Step 4: Simplify right side
    469.74x = 137,896.09
  5. Step 5: Solve for x
    x = 137,896.09/469.74
  6. Step 6: Final answer
    x = 293.56

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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.