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Finding the Fourth Proportional to 610.35, 842.27 and 344.80

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Solution

The fourth proportional to 610.35, 842.27 and 344.80 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.35 : 842.27 = 344.80 : x
  2. Step 2: Convert to fraction form
    610.35/842.27 = 344.80/x
  3. Step 3: Cross multiply
    610.35x = 842.27 × 344.80
  4. Step 4: Simplify right side
    610.35x = 290,415.60
  5. Step 5: Solve for x
    x = 290,415.60/610.35
  6. Step 6: Final answer
    x = 475.82

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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.