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Finding the Fourth Proportional to 605.84, 836.14 and 343.94

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Solution

The fourth proportional to 605.84, 836.14 and 343.94 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 836.14 = 343.94 : x
  2. Step 2: Convert to fraction form
    605.84/836.14 = 343.94/x
  3. Step 3: Cross multiply
    605.84x = 836.14 × 343.94
  4. Step 4: Simplify right side
    605.84x = 287,581.99
  5. Step 5: Solve for x
    x = 287,581.99/605.84
  6. Step 6: Final answer
    x = 474.68

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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.