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Finding the Fourth Proportional to 605.86, 836.04 and 357.14

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Solution

The fourth proportional to 605.86, 836.04 and 357.14 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.86 : 836.04 = 357.14 : x
  2. Step 2: Convert to fraction form
    605.86/836.04 = 357.14/x
  3. Step 3: Cross multiply
    605.86x = 836.04 × 357.14
  4. Step 4: Simplify right side
    605.86x = 298,583.33
  5. Step 5: Solve for x
    x = 298,583.33/605.86
  6. Step 6: Final answer
    x = 492.83

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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.