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Finding the Fourth Proportional to 605.80, 836.07 and 340.31

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Solution

The fourth proportional to 605.80, 836.07 and 340.31 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 836.07 = 340.31 : x
  2. Step 2: Convert to fraction form
    605.80/836.07 = 340.31/x
  3. Step 3: Cross multiply
    605.80x = 836.07 × 340.31
  4. Step 4: Simplify right side
    605.80x = 284,517.10
  5. Step 5: Solve for x
    x = 284,517.10/605.80
  6. Step 6: Final answer
    x = 469.66

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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.