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Finding the Fourth Proportional to 469.48, 704.26 and 195.64

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Solution

The fourth proportional to 469.48, 704.26 and 195.64 is: 293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 704.26 = 195.64 : x
  2. Step 2: Convert to fraction form
    469.48/704.26 = 195.64/x
  3. Step 3: Cross multiply
    469.48x = 704.26 × 195.64
  4. Step 4: Simplify right side
    469.48x = 137,781.43
  5. Step 5: Solve for x
    x = 137,781.43/469.48
  6. Step 6: Final answer
    x = 293.48

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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.