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Finding the Fourth Proportional to 456.80, 685.82 and 251.69

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Solution

The fourth proportional to 456.80, 685.82 and 251.69 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.80 : 685.82 = 251.69 : x
  2. Step 2: Convert to fraction form
    456.80/685.82 = 251.69/x
  3. Step 3: Cross multiply
    456.80x = 685.82 × 251.69
  4. Step 4: Simplify right side
    456.80x = 172,611.24
  5. Step 5: Solve for x
    x = 172,611.24/456.80
  6. Step 6: Final answer
    x = 377.87

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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.