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Finding the Fourth Proportional to 609.54, 914.39 and 192.97

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Solution

The fourth proportional to 609.54, 914.39 and 192.97 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 914.39 = 192.97 : x
  2. Step 2: Convert to fraction form
    609.54/914.39 = 192.97/x
  3. Step 3: Cross multiply
    609.54x = 914.39 × 192.97
  4. Step 4: Simplify right side
    609.54x = 176,449.84
  5. Step 5: Solve for x
    x = 176,449.84/609.54
  6. Step 6: Final answer
    x = 289.48

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1.5x scale

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.