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Finding the Fourth Proportional to 889.74, 1,334.34 and 273.31

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Solution

The fourth proportional to 889.74, 1,334.34 and 273.31 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.74 : 1,334.34 = 273.31 : x
  2. Step 2: Convert to fraction form
    889.74/1,334.34 = 273.31/x
  3. Step 3: Cross multiply
    889.74x = 1,334.34 × 273.31
  4. Step 4: Simplify right side
    889.74x = 364,685.13
  5. Step 5: Solve for x
    x = 364,685.13/889.74
  6. Step 6: Final answer
    x = 409.88

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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.