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Finding the Fourth Proportional to 455.96, 680.06 and 446.24

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Solution

The fourth proportional to 455.96, 680.06 and 446.24 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.96 : 680.06 = 446.24 : x
  2. Step 2: Convert to fraction form
    455.96/680.06 = 446.24/x
  3. Step 3: Cross multiply
    455.96x = 680.06 × 446.24
  4. Step 4: Simplify right side
    455.96x = 303,469.97
  5. Step 5: Solve for x
    x = 303,469.97/455.96
  6. Step 6: Final answer
    x = 665.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.