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Finding the Fourth Proportional to 360.26, 540.89 and 250.31

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Solution

The fourth proportional to 360.26, 540.89 and 250.31 is: 375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.26 : 540.89 = 250.31 : x
  2. Step 2: Convert to fraction form
    360.26/540.89 = 250.31/x
  3. Step 3: Cross multiply
    360.26x = 540.89 × 250.31
  4. Step 4: Simplify right side
    360.26x = 135,391.22
  5. Step 5: Solve for x
    x = 135,391.22/360.26
  6. Step 6: Final answer
    x = 375.82

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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.