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Finding the Fourth Proportional to 447.93, 671.78 and 301.60

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Solution

The fourth proportional to 447.93, 671.78 and 301.60 is: 452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.93 : 671.78 = 301.60 : x
  2. Step 2: Convert to fraction form
    447.93/671.78 = 301.60/x
  3. Step 3: Cross multiply
    447.93x = 671.78 × 301.60
  4. Step 4: Simplify right side
    447.93x = 202,607.92
  5. Step 5: Solve for x
    x = 202,607.92/447.93
  6. Step 6: Final answer
    x = 452.32

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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.