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Finding the Fourth Proportional to 463.40, 694.26 and 270.44

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Solution

The fourth proportional to 463.40, 694.26 and 270.44 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 694.26 = 270.44 : x
  2. Step 2: Convert to fraction form
    463.40/694.26 = 270.44/x
  3. Step 3: Cross multiply
    463.40x = 694.26 × 270.44
  4. Step 4: Simplify right side
    463.40x = 187,755.67
  5. Step 5: Solve for x
    x = 187,755.67/463.40
  6. Step 6: Final answer
    x = 405.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.