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Finding the Fourth Proportional to 740.52, 1,110.86 and 227.48

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Solution

The fourth proportional to 740.52, 1,110.86 and 227.48 is: 341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,110.86 = 227.48 : x
  2. Step 2: Convert to fraction form
    740.52/1,110.86 = 227.48/x
  3. Step 3: Cross multiply
    740.52x = 1,110.86 × 227.48
  4. Step 4: Simplify right side
    740.52x = 252,698.43
  5. Step 5: Solve for x
    x = 252,698.43/740.52
  6. Step 6: Final answer
    x = 341.24

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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.