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Finding the Fourth Proportional to 605.69, 835.88 and 356.95

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Solution

The fourth proportional to 605.69, 835.88 and 356.95 is: 492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 835.88 = 356.95 : x
  2. Step 2: Convert to fraction form
    605.69/835.88 = 356.95/x
  3. Step 3: Cross multiply
    605.69x = 835.88 × 356.95
  4. Step 4: Simplify right side
    605.69x = 298,367.37
  5. Step 5: Solve for x
    x = 298,367.37/605.69
  6. Step 6: Final answer
    x = 492.61

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