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Finding the Fourth Proportional to 301.90, 453.09 and 278.38

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Solution

The fourth proportional to 301.90, 453.09 and 278.38 is: 417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 453.09 = 278.38 : x
  2. Step 2: Convert to fraction form
    301.90/453.09 = 278.38/x
  3. Step 3: Cross multiply
    301.90x = 453.09 × 278.38
  4. Step 4: Simplify right side
    301.90x = 126,131.19
  5. Step 5: Solve for x
    x = 126,131.19/301.90
  6. Step 6: Final answer
    x = 417.79

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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.