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Finding the Fourth Proportional to 367.26, 550.71 and 290.13

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Solution

The fourth proportional to 367.26, 550.71 and 290.13 is: 435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.26 : 550.71 = 290.13 : x
  2. Step 2: Convert to fraction form
    367.26/550.71 = 290.13/x
  3. Step 3: Cross multiply
    367.26x = 550.71 × 290.13
  4. Step 4: Simplify right side
    367.26x = 159,777.49
  5. Step 5: Solve for x
    x = 159,777.49/367.26
  6. Step 6: Final answer
    x = 435.05

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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.