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Finding the Fourth Proportional to 439.72, 606.89 and 282.38

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Solution

The fourth proportional to 439.72, 606.89 and 282.38 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.72 : 606.89 = 282.38 : x
  2. Step 2: Convert to fraction form
    439.72/606.89 = 282.38/x
  3. Step 3: Cross multiply
    439.72x = 606.89 × 282.38
  4. Step 4: Simplify right side
    439.72x = 171,371.27
  5. Step 5: Solve for x
    x = 171,371.27/439.72
  6. Step 6: Final answer
    x = 389.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.