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Finding the Fourth Proportional to 804.98, 1,207.46 and 227.86

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Solution

The fourth proportional to 804.98, 1,207.46 and 227.86 is: 341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.98 : 1,207.46 = 227.86 : x
  2. Step 2: Convert to fraction form
    804.98/1,207.46 = 227.86/x
  3. Step 3: Cross multiply
    804.98x = 1,207.46 × 227.86
  4. Step 4: Simplify right side
    804.98x = 275,125.80
  5. Step 5: Solve for x
    x = 275,125.80/804.98
  6. Step 6: Final answer
    x = 341.78

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Double scale
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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.