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Finding the Fourth Proportional to 445.66, 668.16 and 301.07

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Solution

The fourth proportional to 445.66, 668.16 and 301.07 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.66 : 668.16 = 301.07 : x
  2. Step 2: Convert to fraction form
    445.66/668.16 = 301.07/x
  3. Step 3: Cross multiply
    445.66x = 668.16 × 301.07
  4. Step 4: Simplify right side
    445.66x = 201,162.93
  5. Step 5: Solve for x
    x = 201,162.93/445.66
  6. Step 6: Final answer
    x = 451.39

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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.