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Finding the Fourth Proportional to 422.65, 634.02 and 369.19

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Solution

The fourth proportional to 422.65, 634.02 and 369.19 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 634.02 = 369.19 : x
  2. Step 2: Convert to fraction form
    422.65/634.02 = 369.19/x
  3. Step 3: Cross multiply
    422.65x = 634.02 × 369.19
  4. Step 4: Simplify right side
    422.65x = 234,073.84
  5. Step 5: Solve for x
    x = 234,073.84/422.65
  6. Step 6: Final answer
    x = 553.82

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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.