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Finding the Fourth Proportional to 847.31, 1,270.97 and 270.19

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Solution

The fourth proportional to 847.31, 1,270.97 and 270.19 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.31 : 1,270.97 = 270.19 : x
  2. Step 2: Convert to fraction form
    847.31/1,270.97 = 270.19/x
  3. Step 3: Cross multiply
    847.31x = 1,270.97 × 270.19
  4. Step 4: Simplify right side
    847.31x = 343,399.87
  5. Step 5: Solve for x
    x = 343,399.87/847.31
  6. Step 6: Final answer
    x = 405.28

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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.