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Finding the Fourth Proportional to 605.10, 834.74 and 395.45

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Solution

The fourth proportional to 605.10, 834.74 and 395.45 is: 545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 834.74 = 395.45 : x
  2. Step 2: Convert to fraction form
    605.10/834.74 = 395.45/x
  3. Step 3: Cross multiply
    605.10x = 834.74 × 395.45
  4. Step 4: Simplify right side
    605.10x = 330,097.93
  5. Step 5: Solve for x
    x = 330,097.93/605.10
  6. Step 6: Final answer
    x = 545.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.