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Finding the Fourth Proportional to 605.96, 836.07 and 357.09

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Solution

The fourth proportional to 605.96, 836.07 and 357.09 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.96 : 836.07 = 357.09 : x
  2. Step 2: Convert to fraction form
    605.96/836.07 = 357.09/x
  3. Step 3: Cross multiply
    605.96x = 836.07 × 357.09
  4. Step 4: Simplify right side
    605.96x = 298,552.24
  5. Step 5: Solve for x
    x = 298,552.24/605.96
  6. Step 6: Final answer
    x = 492.70

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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.