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Finding the Fourth Proportional to 505.70, 757.94 and 231.41

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Solution

The fourth proportional to 505.70, 757.94 and 231.41 is: 346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 757.94 = 231.41 : x
  2. Step 2: Convert to fraction form
    505.70/757.94 = 231.41/x
  3. Step 3: Cross multiply
    505.70x = 757.94 × 231.41
  4. Step 4: Simplify right side
    505.70x = 175,396.93
  5. Step 5: Solve for x
    x = 175,396.93/505.70
  6. Step 6: Final answer
    x = 346.84

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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.