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Finding the Fourth Proportional to 605.92, 836.16 and 357.21

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Solution

The fourth proportional to 605.92, 836.16 and 357.21 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 836.16 = 357.21 : x
  2. Step 2: Convert to fraction form
    605.92/836.16 = 357.21/x
  3. Step 3: Cross multiply
    605.92x = 836.16 × 357.21
  4. Step 4: Simplify right side
    605.92x = 298,680.53
  5. Step 5: Solve for x
    x = 298,680.53/605.92
  6. Step 6: Final answer
    x = 492.94

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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.