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Finding the Fourth Proportional to 290.80, 400.44 and 274.78

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Solution

The fourth proportional to 290.80, 400.44 and 274.78 is: 378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.80 : 400.44 = 274.78 : x
  2. Step 2: Convert to fraction form
    290.80/400.44 = 274.78/x
  3. Step 3: Cross multiply
    290.80x = 400.44 × 274.78
  4. Step 4: Simplify right side
    290.80x = 110,032.90
  5. Step 5: Solve for x
    x = 110,032.90/290.80
  6. Step 6: Final answer
    x = 378.38

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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.