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Finding the Fourth Proportional to 659.85, 988.96 and 226.50

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Solution

The fourth proportional to 659.85, 988.96 and 226.50 is: 339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.85 : 988.96 = 226.50 : x
  2. Step 2: Convert to fraction form
    659.85/988.96 = 226.50/x
  3. Step 3: Cross multiply
    659.85x = 988.96 × 226.50
  4. Step 4: Simplify right side
    659.85x = 223,999.44
  5. Step 5: Solve for x
    x = 223,999.44/659.85
  6. Step 6: Final answer
    x = 339.47

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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.