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Finding the Fourth Proportional to 610.67, 842.77 and 348.70

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Solution

The fourth proportional to 610.67, 842.77 and 348.70 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.67 : 842.77 = 348.70 : x
  2. Step 2: Convert to fraction form
    610.67/842.77 = 348.70/x
  3. Step 3: Cross multiply
    610.67x = 842.77 × 348.70
  4. Step 4: Simplify right side
    610.67x = 293,873.90
  5. Step 5: Solve for x
    x = 293,873.90/610.67
  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.