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Finding the Fourth Proportional to 919, 1,378.50 and 269.73

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Solution

The fourth proportional to 919, 1,378.50 and 269.73 is: 404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,378.50 = 269.73 : x
  2. Step 2: Convert to fraction form
    919/1,378.50 = 269.73/x
  3. Step 3: Cross multiply
    919x = 1,378.50 × 269.73
  4. Step 4: Simplify right side
    919x = 371,822.81
  5. Step 5: Solve for x
    x = 371,822.81/919
  6. Step 6: Final answer
    x = 404.60

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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.