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Finding the Fourth Proportional to 505.89, 758.84 and 231.79

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Solution

The fourth proportional to 505.89, 758.84 and 231.79 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 758.84 = 231.79 : x
  2. Step 2: Convert to fraction form
    505.89/758.84 = 231.79/x
  3. Step 3: Cross multiply
    505.89x = 758.84 × 231.79
  4. Step 4: Simplify right side
    505.89x = 175,891.52
  5. Step 5: Solve for x
    x = 175,891.52/505.89
  6. Step 6: Final answer
    x = 347.69

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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.