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Finding the Fourth Proportional to 312.36, 467.76 and 231.26

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Solution

The fourth proportional to 312.36, 467.76 and 231.26 is: 346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 467.76 = 231.26 : x
  2. Step 2: Convert to fraction form
    312.36/467.76 = 231.26/x
  3. Step 3: Cross multiply
    312.36x = 467.76 × 231.26
  4. Step 4: Simplify right side
    312.36x = 108,174.18
  5. Step 5: Solve for x
    x = 108,174.18/312.36
  6. Step 6: Final answer
    x = 346.31

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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.