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Finding the Fourth Proportional to 444.97, 666.62 and 282.31

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Solution

The fourth proportional to 444.97, 666.62 and 282.31 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.97 : 666.62 = 282.31 : x
  2. Step 2: Convert to fraction form
    444.97/666.62 = 282.31/x
  3. Step 3: Cross multiply
    444.97x = 666.62 × 282.31
  4. Step 4: Simplify right side
    444.97x = 188,190.41
  5. Step 5: Solve for x
    x = 188,190.41/444.97
  6. Step 6: Final answer
    x = 422.93

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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.