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Finding the Fourth Proportional to 439.23, 606.26 and 289.96

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Solution

The fourth proportional to 439.23, 606.26 and 289.96 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.23 : 606.26 = 289.96 : x
  2. Step 2: Convert to fraction form
    439.23/606.26 = 289.96/x
  3. Step 3: Cross multiply
    439.23x = 606.26 × 289.96
  4. Step 4: Simplify right side
    439.23x = 175,789.47
  5. Step 5: Solve for x
    x = 175,789.47/439.23
  6. Step 6: Final answer
    x = 400.23

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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.