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Finding the Fourth Proportional to 446.27, 669.42 and 263.57

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Solution

The fourth proportional to 446.27, 669.42 and 263.57 is: 395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.27 : 669.42 = 263.57 : x
  2. Step 2: Convert to fraction form
    446.27/669.42 = 263.57/x
  3. Step 3: Cross multiply
    446.27x = 669.42 × 263.57
  4. Step 4: Simplify right side
    446.27x = 176,435.68
  5. Step 5: Solve for x
    x = 176,435.68/446.27
  6. Step 6: Final answer
    x = 395.36

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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.