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Finding the Fourth Proportional to 610.89, 842.82 and 348.84

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Solution

The fourth proportional to 610.89, 842.82 and 348.84 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.89 : 842.82 = 348.84 : x
  2. Step 2: Convert to fraction form
    610.89/842.82 = 348.84/x
  3. Step 3: Cross multiply
    610.89x = 842.82 × 348.84
  4. Step 4: Simplify right side
    610.89x = 294,009.33
  5. Step 5: Solve for x
    x = 294,009.33/610.89
  6. Step 6: Final answer
    x = 481.28

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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.