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Finding the Fourth Proportional to 449.31, 669.94 and 441.11

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Solution

The fourth proportional to 449.31, 669.94 and 441.11 is: 657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 669.94 = 441.11 : x
  2. Step 2: Convert to fraction form
    449.31/669.94 = 441.11/x
  3. Step 3: Cross multiply
    449.31x = 669.94 × 441.11
  4. Step 4: Simplify right side
    449.31x = 295,514.61
  5. Step 5: Solve for x
    x = 295,514.61/449.31
  6. Step 6: Final answer
    x = 657.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.