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Finding the Fourth Proportional to 418.94, 578.05 and 269.59

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Solution

The fourth proportional to 418.94, 578.05 and 269.59 is: 371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 578.05 = 269.59 : x
  2. Step 2: Convert to fraction form
    418.94/578.05 = 269.59/x
  3. Step 3: Cross multiply
    418.94x = 578.05 × 269.59
  4. Step 4: Simplify right side
    418.94x = 155,833.30
  5. Step 5: Solve for x
    x = 155,833.30/418.94
  6. Step 6: Final answer
    x = 371.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.