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Finding the Fourth Proportional to 605.69, 835.66 and 356.92

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Solution

The fourth proportional to 605.69, 835.66 and 356.92 is: 492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 835.66 = 356.92 : x
  2. Step 2: Convert to fraction form
    605.69/835.66 = 356.92/x
  3. Step 3: Cross multiply
    605.69x = 835.66 × 356.92
  4. Step 4: Simplify right side
    605.69x = 298,263.77
  5. Step 5: Solve for x
    x = 298,263.77/605.69
  6. Step 6: Final answer
    x = 492.44

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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.