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Finding the Fourth Proportional to 610.77, 842.83 and 348.73

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Solution

The fourth proportional to 610.77, 842.83 and 348.73 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.77 : 842.83 = 348.73 : x
  2. Step 2: Convert to fraction form
    610.77/842.83 = 348.73/x
  3. Step 3: Cross multiply
    610.77x = 842.83 × 348.73
  4. Step 4: Simplify right side
    610.77x = 293,920.11
  5. Step 5: Solve for x
    x = 293,920.11/610.77
  6. Step 6: Final answer
    x = 481.23

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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.