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Finding the Fourth Proportional to 659.42, 989.21 and 226.70

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Solution

The fourth proportional to 659.42, 989.21 and 226.70 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 989.21 = 226.70 : x
  2. Step 2: Convert to fraction form
    659.42/989.21 = 226.70/x
  3. Step 3: Cross multiply
    659.42x = 989.21 × 226.70
  4. Step 4: Simplify right side
    659.42x = 224,249.53
  5. Step 5: Solve for x
    x = 224,249.53/659.42
  6. Step 6: Final answer
    x = 340.07

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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.