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Finding the Fourth Proportional to 447.13, 669.68 and 439.64

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Solution

The fourth proportional to 447.13, 669.68 and 439.64 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.13 : 669.68 = 439.64 : x
  2. Step 2: Convert to fraction form
    447.13/669.68 = 439.64/x
  3. Step 3: Cross multiply
    447.13x = 669.68 × 439.64
  4. Step 4: Simplify right side
    447.13x = 294,418.12
  5. Step 5: Solve for x
    x = 294,418.12/447.13
  6. Step 6: Final answer
    x = 658.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.