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Finding the Fourth Proportional to 919.23, 1,378.85 and 269.97

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Solution

The fourth proportional to 919.23, 1,378.85 and 269.97 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.23 : 1,378.85 = 269.97 : x
  2. Step 2: Convert to fraction form
    919.23/1,378.85 = 269.97/x
  3. Step 3: Cross multiply
    919.23x = 1,378.85 × 269.97
  4. Step 4: Simplify right side
    919.23x = 372,248.13
  5. Step 5: Solve for x
    x = 372,248.13/919.23
  6. Step 6: Final answer
    x = 404.96

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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.