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Finding the Fourth Proportional to 446.68, 670.26 and 227.55

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Solution

The fourth proportional to 446.68, 670.26 and 227.55 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 670.26 = 227.55 : x
  2. Step 2: Convert to fraction form
    446.68/670.26 = 227.55/x
  3. Step 3: Cross multiply
    446.68x = 670.26 × 227.55
  4. Step 4: Simplify right side
    446.68x = 152,517.66
  5. Step 5: Solve for x
    x = 152,517.66/446.68
  6. Step 6: Final answer
    x = 341.45

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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.