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Finding the Fourth Proportional to 445.79, 669.05 and 229.43

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Solution

The fourth proportional to 445.79, 669.05 and 229.43 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.79 : 669.05 = 229.43 : x
  2. Step 2: Convert to fraction form
    445.79/669.05 = 229.43/x
  3. Step 3: Cross multiply
    445.79x = 669.05 × 229.43
  4. Step 4: Simplify right side
    445.79x = 153,500.14
  5. Step 5: Solve for x
    x = 153,500.14/445.79
  6. Step 6: Final answer
    x = 344.33

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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.