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Finding the Fourth Proportional to 299.43, 447.93 and 272.16

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Solution

The fourth proportional to 299.43, 447.93 and 272.16 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 447.93 = 272.16 : x
  2. Step 2: Convert to fraction form
    299.43/447.93 = 272.16/x
  3. Step 3: Cross multiply
    299.43x = 447.93 × 272.16
  4. Step 4: Simplify right side
    299.43x = 121,908.63
  5. Step 5: Solve for x
    x = 121,908.63/299.43
  6. Step 6: Final answer
    x = 407.14

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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.