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Finding the Fourth Proportional to 505.23, 757.26 and 231.35

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Solution

The fourth proportional to 505.23, 757.26 and 231.35 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 757.26 = 231.35 : x
  2. Step 2: Convert to fraction form
    505.23/757.26 = 231.35/x
  3. Step 3: Cross multiply
    505.23x = 757.26 × 231.35
  4. Step 4: Simplify right side
    505.23x = 175,190.21
  5. Step 5: Solve for x
    x = 175,190.21/505.23
  6. Step 6: Final answer
    x = 346.76

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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.