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Finding the Fourth Proportional to 447.67, 670.42 and 310.33

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Solution

The fourth proportional to 447.67, 670.42 and 310.33 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 670.42 = 310.33 : x
  2. Step 2: Convert to fraction form
    447.67/670.42 = 310.33/x
  3. Step 3: Cross multiply
    447.67x = 670.42 × 310.33
  4. Step 4: Simplify right side
    447.67x = 208,051.44
  5. Step 5: Solve for x
    x = 208,051.44/447.67
  6. Step 6: Final answer
    x = 464.74

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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.