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Finding the Fourth Proportional to 605.87, 836.15 and 357.13

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Solution

The fourth proportional to 605.87, 836.15 and 357.13 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.87 : 836.15 = 357.13 : x
  2. Step 2: Convert to fraction form
    605.87/836.15 = 357.13/x
  3. Step 3: Cross multiply
    605.87x = 836.15 × 357.13
  4. Step 4: Simplify right side
    605.87x = 298,608.28
  5. Step 5: Solve for x
    x = 298,608.28/605.87
  6. Step 6: Final answer
    x = 492.86

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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.