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Finding the Fourth Proportional to 467.14, 644.37 and 301.09

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Solution

The fourth proportional to 467.14, 644.37 and 301.09 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 644.37 = 301.09 : x
  2. Step 2: Convert to fraction form
    467.14/644.37 = 301.09/x
  3. Step 3: Cross multiply
    467.14x = 644.37 × 301.09
  4. Step 4: Simplify right side
    467.14x = 194,013.36
  5. Step 5: Solve for x
    x = 194,013.36/467.14
  6. Step 6: Final answer
    x = 415.32

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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.