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Finding the Fourth Proportional to 444.80, 667.17 and 282.13

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Solution

The fourth proportional to 444.80, 667.17 and 282.13 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.80 : 667.17 = 282.13 : x
  2. Step 2: Convert to fraction form
    444.80/667.17 = 282.13/x
  3. Step 3: Cross multiply
    444.80x = 667.17 × 282.13
  4. Step 4: Simplify right side
    444.80x = 188,223.93
  5. Step 5: Solve for x
    x = 188,223.93/444.80
  6. Step 6: Final answer
    x = 423.17

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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.