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Finding the Fourth Proportional to 290.75, 401.37 and 213.26

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Solution

The fourth proportional to 290.75, 401.37 and 213.26 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 401.37 = 213.26 : x
  2. Step 2: Convert to fraction form
    290.75/401.37 = 213.26/x
  3. Step 3: Cross multiply
    290.75x = 401.37 × 213.26
  4. Step 4: Simplify right side
    290.75x = 85,596.17
  5. Step 5: Solve for x
    x = 85,596.17/290.75
  6. Step 6: Final answer
    x = 294.40

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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.