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Finding the Fourth Proportional to 505.26, 758.09 and 261.85

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Solution

The fourth proportional to 505.26, 758.09 and 261.85 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 758.09 = 261.85 : x
  2. Step 2: Convert to fraction form
    505.26/758.09 = 261.85/x
  3. Step 3: Cross multiply
    505.26x = 758.09 × 261.85
  4. Step 4: Simplify right side
    505.26x = 198,505.87
  5. Step 5: Solve for x
    x = 198,505.87/505.26
  6. Step 6: Final answer
    x = 392.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.