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Finding the Fourth Proportional to 449.14, 620.31 and 443.07

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Solution

The fourth proportional to 449.14, 620.31 and 443.07 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 620.31 = 443.07 : x
  2. Step 2: Convert to fraction form
    449.14/620.31 = 443.07/x
  3. Step 3: Cross multiply
    449.14x = 620.31 × 443.07
  4. Step 4: Simplify right side
    449.14x = 274,840.75
  5. Step 5: Solve for x
    x = 274,840.75/449.14
  6. Step 6: Final answer
    x = 611.93

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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.