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Finding the Fourth Proportional to 605.41, 835.58 and 395.21

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Solution

The fourth proportional to 605.41, 835.58 and 395.21 is: 545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.41 : 835.58 = 395.21 : x
  2. Step 2: Convert to fraction form
    605.41/835.58 = 395.21/x
  3. Step 3: Cross multiply
    605.41x = 835.58 × 395.21
  4. Step 4: Simplify right side
    605.41x = 330,232.65
  5. Step 5: Solve for x
    x = 330,232.65/605.41
  6. Step 6: Final answer
    x = 545.47

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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.