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Finding the Fourth Proportional to 441.84, 610.23 and 348.48

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Solution

The fourth proportional to 441.84, 610.23 and 348.48 is: 481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 610.23 = 348.48 : x
  2. Step 2: Convert to fraction form
    441.84/610.23 = 348.48/x
  3. Step 3: Cross multiply
    441.84x = 610.23 × 348.48
  4. Step 4: Simplify right side
    441.84x = 212,652.95
  5. Step 5: Solve for x
    x = 212,652.95/441.84
  6. Step 6: Final answer
    x = 481.29

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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.