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Finding the Fourth Proportional to 301.97, 453.13 and 278.75

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Solution

The fourth proportional to 301.97, 453.13 and 278.75 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.97 : 453.13 = 278.75 : x
  2. Step 2: Convert to fraction form
    301.97/453.13 = 278.75/x
  3. Step 3: Cross multiply
    301.97x = 453.13 × 278.75
  4. Step 4: Simplify right side
    301.97x = 126,310.42
  5. Step 5: Solve for x
    x = 126,310.42/301.97
  6. Step 6: Final answer
    x = 418.28

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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.