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Finding the Fourth Proportional to 605.30, 835.16 and 408.81

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Solution

The fourth proportional to 605.30, 835.16 and 408.81 is: 564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.30 : 835.16 = 408.81 : x
  2. Step 2: Convert to fraction form
    605.30/835.16 = 408.81/x
  3. Step 3: Cross multiply
    605.30x = 835.16 × 408.81
  4. Step 4: Simplify right side
    605.30x = 341,421.62
  5. Step 5: Solve for x
    x = 341,421.62/605.30
  6. Step 6: Final answer
    x = 564.06

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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.