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Finding the Fourth Proportional to 450, 620.82 and 319.17

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Solution

The fourth proportional to 450, 620.82 and 319.17 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 620.82 = 319.17 : x
  2. Step 2: Convert to fraction form
    450/620.82 = 319.17/x
  3. Step 3: Cross multiply
    450x = 620.82 × 319.17
  4. Step 4: Simplify right side
    450x = 198,147.12
  5. Step 5: Solve for x
    x = 198,147.12/450
  6. Step 6: Final answer
    x = 440.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.