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Finding the Fourth Proportional to 610.23, 842.09 and 344.67

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Solution

The fourth proportional to 610.23, 842.09 and 344.67 is: 475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 842.09 = 344.67 : x
  2. Step 2: Convert to fraction form
    610.23/842.09 = 344.67/x
  3. Step 3: Cross multiply
    610.23x = 842.09 × 344.67
  4. Step 4: Simplify right side
    610.23x = 290,241.44
  5. Step 5: Solve for x
    x = 290,241.44/610.23
  6. Step 6: Final answer
    x = 475.63

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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.