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Finding the Fourth Proportional to 605.89, 836.38 and 396.24

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Solution

The fourth proportional to 605.89, 836.38 and 396.24 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 836.38 = 396.24 : x
  2. Step 2: Convert to fraction form
    605.89/836.38 = 396.24/x
  3. Step 3: Cross multiply
    605.89x = 836.38 × 396.24
  4. Step 4: Simplify right side
    605.89x = 331,407.21
  5. Step 5: Solve for x
    x = 331,407.21/605.89
  6. Step 6: Final answer
    x = 546.98

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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.