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Finding the Fourth Proportional to 466.27, 699.03 and 301.91

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Solution

The fourth proportional to 466.27, 699.03 and 301.91 is: 452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.27 : 699.03 = 301.91 : x
  2. Step 2: Convert to fraction form
    466.27/699.03 = 301.91/x
  3. Step 3: Cross multiply
    466.27x = 699.03 × 301.91
  4. Step 4: Simplify right side
    466.27x = 211,040.65
  5. Step 5: Solve for x
    x = 211,040.65/466.27
  6. Step 6: Final answer
    x = 452.62

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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.