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Finding the Fourth Proportional to 635.67, 876.99 and 449.48

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Solution

The fourth proportional to 635.67, 876.99 and 449.48 is: 620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 876.99 = 449.48 : x
  2. Step 2: Convert to fraction form
    635.67/876.99 = 449.48/x
  3. Step 3: Cross multiply
    635.67x = 876.99 × 449.48
  4. Step 4: Simplify right side
    635.67x = 394,185.08
  5. Step 5: Solve for x
    x = 394,185.08/635.67
  6. Step 6: Final answer
    x = 620.11

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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.