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Finding the Fourth Proportional to 622.94, 934.74 and 298.33

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Solution

The fourth proportional to 622.94, 934.74 and 298.33 is: 447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 934.74 = 298.33 : x
  2. Step 2: Convert to fraction form
    622.94/934.74 = 298.33/x
  3. Step 3: Cross multiply
    622.94x = 934.74 × 298.33
  4. Step 4: Simplify right side
    622.94x = 278,858.65
  5. Step 5: Solve for x
    x = 278,858.65/622.94
  6. Step 6: Final answer
    x = 447.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.