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Finding the Fourth Proportional to 446.28, 669.84 and 227.06

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Solution

The fourth proportional to 446.28, 669.84 and 227.06 is: 340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 669.84 = 227.06 : x
  2. Step 2: Convert to fraction form
    446.28/669.84 = 227.06/x
  3. Step 3: Cross multiply
    446.28x = 669.84 × 227.06
  4. Step 4: Simplify right side
    446.28x = 152,094.07
  5. Step 5: Solve for x
    x = 152,094.07/446.28
  6. Step 6: Final answer
    x = 340.80

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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.