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Finding the Fourth Proportional to 301.98, 452.06 and 279.20

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Solution

The fourth proportional to 301.98, 452.06 and 279.20 is: 417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.98 : 452.06 = 279.20 : x
  2. Step 2: Convert to fraction form
    301.98/452.06 = 279.20/x
  3. Step 3: Cross multiply
    301.98x = 452.06 × 279.20
  4. Step 4: Simplify right side
    301.98x = 126,215.15
  5. Step 5: Solve for x
    x = 126,215.15/301.98
  6. Step 6: Final answer
    x = 417.96

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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.