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Finding the Fourth Proportional to 505.97, 759.26 and 197.96

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Solution

The fourth proportional to 505.97, 759.26 and 197.96 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 759.26 = 197.96 : x
  2. Step 2: Convert to fraction form
    505.97/759.26 = 197.96/x
  3. Step 3: Cross multiply
    505.97x = 759.26 × 197.96
  4. Step 4: Simplify right side
    505.97x = 150,304.02
  5. Step 5: Solve for x
    x = 150,304.02/505.97
  6. Step 6: Final answer
    x = 297.06

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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.