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Finding the Fourth Proportional to 610.50, 842.49 and 348.68

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Solution

The fourth proportional to 610.50, 842.49 and 348.68 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 842.49 = 348.68 : x
  2. Step 2: Convert to fraction form
    610.50/842.49 = 348.68/x
  3. Step 3: Cross multiply
    610.50x = 842.49 × 348.68
  4. Step 4: Simplify right side
    610.50x = 293,755.20
  5. Step 5: Solve for x
    x = 293,755.20/610.50
  6. Step 6: Final answer
    x = 481.17

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