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Finding the Fourth Proportional to 444.36, 667.02 and 282.14

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Solution

The fourth proportional to 444.36, 667.02 and 282.14 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.36 : 667.02 = 282.14 : x
  2. Step 2: Convert to fraction form
    444.36/667.02 = 282.14/x
  3. Step 3: Cross multiply
    444.36x = 667.02 × 282.14
  4. Step 4: Simplify right side
    444.36x = 188,193.02
  5. Step 5: Solve for x
    x = 188,193.02/444.36
  6. Step 6: Final answer
    x = 423.51

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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.