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Finding the Fourth Proportional to 446.75, 670.03 and 172.75

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Solution

The fourth proportional to 446.75, 670.03 and 172.75 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.75 : 670.03 = 172.75 : x
  2. Step 2: Convert to fraction form
    446.75/670.03 = 172.75/x
  3. Step 3: Cross multiply
    446.75x = 670.03 × 172.75
  4. Step 4: Simplify right side
    446.75x = 115,747.68
  5. Step 5: Solve for x
    x = 115,747.68/446.75
  6. Step 6: Final answer
    x = 259.09

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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.