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Finding the Fourth Proportional to 446.49, 668.64 and 301.77

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Solution

The fourth proportional to 446.49, 668.64 and 301.77 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 668.64 = 301.77 : x
  2. Step 2: Convert to fraction form
    446.49/668.64 = 301.77/x
  3. Step 3: Cross multiply
    446.49x = 668.64 × 301.77
  4. Step 4: Simplify right side
    446.49x = 201,775.49
  5. Step 5: Solve for x
    x = 201,775.49/446.49
  6. Step 6: Final answer
    x = 451.91

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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.