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Finding the Fourth Proportional to 404.46, 606.41 and 282.38

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Solution

The fourth proportional to 404.46, 606.41 and 282.38 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.46 : 606.41 = 282.38 : x
  2. Step 2: Convert to fraction form
    404.46/606.41 = 282.38/x
  3. Step 3: Cross multiply
    404.46x = 606.41 × 282.38
  4. Step 4: Simplify right side
    404.46x = 171,238.06
  5. Step 5: Solve for x
    x = 171,238.06/404.46
  6. Step 6: Final answer
    x = 423.37

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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.