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Finding the Fourth Proportional to 299.88, 449.91 and 282.06

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Solution

The fourth proportional to 299.88, 449.91 and 282.06 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 449.91 = 282.06 : x
  2. Step 2: Convert to fraction form
    299.88/449.91 = 282.06/x
  3. Step 3: Cross multiply
    299.88x = 449.91 × 282.06
  4. Step 4: Simplify right side
    299.88x = 126,901.61
  5. Step 5: Solve for x
    x = 126,901.61/299.88
  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.