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Finding the Fourth Proportional to 445.05, 667.58 and 282.38

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Solution

The fourth proportional to 445.05, 667.58 and 282.38 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.05 : 667.58 = 282.38 : x
  2. Step 2: Convert to fraction form
    445.05/667.58 = 282.38/x
  3. Step 3: Cross multiply
    445.05x = 667.58 × 282.38
  4. Step 4: Simplify right side
    445.05x = 188,506.49
  5. Step 5: Solve for x
    x = 188,506.49/445.05
  6. Step 6: Final answer
    x = 423.56

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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.