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Finding the Fourth Proportional to 312.55, 467.70 and 231.55

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Solution

The fourth proportional to 312.55, 467.70 and 231.55 is: 346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.55 : 467.70 = 231.55 : x
  2. Step 2: Convert to fraction form
    312.55/467.70 = 231.55/x
  3. Step 3: Cross multiply
    312.55x = 467.70 × 231.55
  4. Step 4: Simplify right side
    312.55x = 108,295.94
  5. Step 5: Solve for x
    x = 108,295.94/312.55
  6. Step 6: Final answer
    x = 346.49

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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.