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Finding the Fourth Proportional to 447.28, 669.44 and 405.76

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Solution

The fourth proportional to 447.28, 669.44 and 405.76 is: 607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 669.44 = 405.76 : x
  2. Step 2: Convert to fraction form
    447.28/669.44 = 405.76/x
  3. Step 3: Cross multiply
    447.28x = 669.44 × 405.76
  4. Step 4: Simplify right side
    447.28x = 271,631.97
  5. Step 5: Solve for x
    x = 271,631.97/447.28
  6. Step 6: Final answer
    x = 607.30

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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.