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Finding the Fourth Proportional to 444.44, 667.48 and 282.16

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Solution

The fourth proportional to 444.44, 667.48 and 282.16 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.44 : 667.48 = 282.16 : x
  2. Step 2: Convert to fraction form
    444.44/667.48 = 282.16/x
  3. Step 3: Cross multiply
    444.44x = 667.48 × 282.16
  4. Step 4: Simplify right side
    444.44x = 188,336.16
  5. Step 5: Solve for x
    x = 188,336.16/444.44
  6. Step 6: Final answer
    x = 423.76

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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.