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Finding the Fourth Proportional to 605.90, 836.33 and 344.09

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Solution

The fourth proportional to 605.90, 836.33 and 344.09 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 836.33 = 344.09 : x
  2. Step 2: Convert to fraction form
    605.90/836.33 = 344.09/x
  3. Step 3: Cross multiply
    605.90x = 836.33 × 344.09
  4. Step 4: Simplify right side
    605.90x = 287,766.89
  5. Step 5: Solve for x
    x = 287,766.89/605.90
  6. Step 6: Final answer
    x = 474.95

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1.5x scale

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.