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Finding the Fourth Proportional to 446.81, 670.46 and 190.25

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Solution

The fourth proportional to 446.81, 670.46 and 190.25 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.81 : 670.46 = 190.25 : x
  2. Step 2: Convert to fraction form
    446.81/670.46 = 190.25/x
  3. Step 3: Cross multiply
    446.81x = 670.46 × 190.25
  4. Step 4: Simplify right side
    446.81x = 127,554.06
  5. Step 5: Solve for x
    x = 127,554.06/446.81
  6. Step 6: Final answer
    x = 285.48

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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.