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Finding the Fourth Proportional to 740.56, 1,110.72 and 227.56

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Solution

The fourth proportional to 740.56, 1,110.72 and 227.56 is: 341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,110.72 = 227.56 : x
  2. Step 2: Convert to fraction form
    740.56/1,110.72 = 227.56/x
  3. Step 3: Cross multiply
    740.56x = 1,110.72 × 227.56
  4. Step 4: Simplify right side
    740.56x = 252,755.44
  5. Step 5: Solve for x
    x = 252,755.44/740.56
  6. Step 6: Final answer
    x = 341.30

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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.