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Finding the Fourth Proportional to 404.56, 606.39 and 173.41

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Solution

The fourth proportional to 404.56, 606.39 and 173.41 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.56 : 606.39 = 173.41 : x
  2. Step 2: Convert to fraction form
    404.56/606.39 = 173.41/x
  3. Step 3: Cross multiply
    404.56x = 606.39 × 173.41
  4. Step 4: Simplify right side
    404.56x = 105,151.92
  5. Step 5: Solve for x
    x = 105,151.92/404.56
  6. Step 6: Final answer
    x = 259.92

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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.