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Finding the Fourth Proportional to 263.40, 394.50 and 209.34

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Solution

The fourth proportional to 263.40, 394.50 and 209.34 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 394.50 = 209.34 : x
  2. Step 2: Convert to fraction form
    263.40/394.50 = 209.34/x
  3. Step 3: Cross multiply
    263.40x = 394.50 × 209.34
  4. Step 4: Simplify right side
    263.40x = 82,584.63
  5. Step 5: Solve for x
    x = 82,584.63/263.40
  6. Step 6: Final answer
    x = 313.53

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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.