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Finding the Fourth Proportional to 446.63, 668.68 and 302.09

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Solution

The fourth proportional to 446.63, 668.68 and 302.09 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 668.68 = 302.09 : x
  2. Step 2: Convert to fraction form
    446.63/668.68 = 302.09/x
  3. Step 3: Cross multiply
    446.63x = 668.68 × 302.09
  4. Step 4: Simplify right side
    446.63x = 202,001.54
  5. Step 5: Solve for x
    x = 202,001.54/446.63
  6. Step 6: Final answer
    x = 452.28

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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.