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Finding the Fourth Proportional to 659.44, 989.11 and 226.60

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Solution

The fourth proportional to 659.44, 989.11 and 226.60 is: 339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 989.11 = 226.60 : x
  2. Step 2: Convert to fraction form
    659.44/989.11 = 226.60/x
  3. Step 3: Cross multiply
    659.44x = 989.11 × 226.60
  4. Step 4: Simplify right side
    659.44x = 224,130.14
  5. Step 5: Solve for x
    x = 224,130.14/659.44
  6. Step 6: Final answer
    x = 339.88

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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.