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Finding the Fourth Proportional to 605.36, 835.46 and 356.76

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Solution

The fourth proportional to 605.36, 835.46 and 356.76 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 835.46 = 356.76 : x
  2. Step 2: Convert to fraction form
    605.36/835.46 = 356.76/x
  3. Step 3: Cross multiply
    605.36x = 835.46 × 356.76
  4. Step 4: Simplify right side
    605.36x = 298,057.26
  5. Step 5: Solve for x
    x = 298,057.26/605.36
  6. Step 6: Final answer
    x = 492.36

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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.