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Finding the Fourth Proportional to 418.08, 576.72 and 301.44

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Solution

The fourth proportional to 418.08, 576.72 and 301.44 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.08 : 576.72 = 301.44 : x
  2. Step 2: Convert to fraction form
    418.08/576.72 = 301.44/x
  3. Step 3: Cross multiply
    418.08x = 576.72 × 301.44
  4. Step 4: Simplify right side
    418.08x = 173,846.48
  5. Step 5: Solve for x
    x = 173,846.48/418.08
  6. Step 6: Final answer
    x = 415.82

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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.