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Finding the Fourth Proportional to 549.23, 823.84 and 224.37

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Solution

The fourth proportional to 549.23, 823.84 and 224.37 is: 336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.23 : 823.84 = 224.37 : x
  2. Step 2: Convert to fraction form
    549.23/823.84 = 224.37/x
  3. Step 3: Cross multiply
    549.23x = 823.84 × 224.37
  4. Step 4: Simplify right side
    549.23x = 184,847.60
  5. Step 5: Solve for x
    x = 184,847.60/549.23
  6. Step 6: Final answer
    x = 336.56

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Similar ratio
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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.