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Finding the Fourth Proportional to 609.12, 914 and 224.48

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Solution

The fourth proportional to 609.12, 914 and 224.48 is: 336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 914 = 224.48 : x
  2. Step 2: Convert to fraction form
    609.12/914 = 224.48/x
  3. Step 3: Cross multiply
    609.12x = 914 × 224.48
  4. Step 4: Simplify right side
    609.12x = 205,174.72
  5. Step 5: Solve for x
    x = 205,174.72/609.12
  6. Step 6: Final answer
    x = 336.84

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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.