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Finding the Fourth Proportional to 313.49, 470.43 and 213.53

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Solution

The fourth proportional to 313.49, 470.43 and 213.53 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.43 = 213.53 : x
  2. Step 2: Convert to fraction form
    313.49/470.43 = 213.53/x
  3. Step 3: Cross multiply
    313.49x = 470.43 × 213.53
  4. Step 4: Simplify right side
    313.49x = 100,450.92
  5. Step 5: Solve for x
    x = 100,450.92/313.49
  6. Step 6: Final answer
    x = 320.43

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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.