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Finding the Fourth Proportional to 445.96, 669.48 and 202.56

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Solution

The fourth proportional to 445.96, 669.48 and 202.56 is: 304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 669.48 = 202.56 : x
  2. Step 2: Convert to fraction form
    445.96/669.48 = 202.56/x
  3. Step 3: Cross multiply
    445.96x = 669.48 × 202.56
  4. Step 4: Simplify right side
    445.96x = 135,609.87
  5. Step 5: Solve for x
    x = 135,609.87/445.96
  6. Step 6: Final answer
    x = 304.09

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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.