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Finding the Fourth Proportional to 446.82, 668.61 and 369.06

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Solution

The fourth proportional to 446.82, 668.61 and 369.06 is: 552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 668.61 = 369.06 : x
  2. Step 2: Convert to fraction form
    446.82/668.61 = 369.06/x
  3. Step 3: Cross multiply
    446.82x = 668.61 × 369.06
  4. Step 4: Simplify right side
    446.82x = 246,757.21
  5. Step 5: Solve for x
    x = 246,757.21/446.82
  6. Step 6: Final answer
    x = 552.25

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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.