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Finding the Fourth Proportional to 312.45, 430.74 and 234.69

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Solution

The fourth proportional to 312.45, 430.74 and 234.69 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 430.74 = 234.69 : x
  2. Step 2: Convert to fraction form
    312.45/430.74 = 234.69/x
  3. Step 3: Cross multiply
    312.45x = 430.74 × 234.69
  4. Step 4: Simplify right side
    312.45x = 101,090.37
  5. Step 5: Solve for x
    x = 101,090.37/312.45
  6. Step 6: Final answer
    x = 323.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.