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Finding the Fourth Proportional to 418.14, 576.90 and 301.50

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Solution

The fourth proportional to 418.14, 576.90 and 301.50 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 576.90 = 301.50 : x
  2. Step 2: Convert to fraction form
    418.14/576.90 = 301.50/x
  3. Step 3: Cross multiply
    418.14x = 576.90 × 301.50
  4. Step 4: Simplify right side
    418.14x = 173,935.35
  5. Step 5: Solve for x
    x = 173,935.35/418.14
  6. Step 6: Final answer
    x = 415.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.