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Finding the Fourth Proportional to 605.85, 836.13 and 340.33

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Solution

The fourth proportional to 605.85, 836.13 and 340.33 is: 469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 836.13 = 340.33 : x
  2. Step 2: Convert to fraction form
    605.85/836.13 = 340.33/x
  3. Step 3: Cross multiply
    605.85x = 836.13 × 340.33
  4. Step 4: Simplify right side
    605.85x = 284,560.12
  5. Step 5: Solve for x
    x = 284,560.12/605.85
  6. Step 6: Final answer
    x = 469.69

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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.