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Finding the Fourth Proportional to 493.40, 739.89 and 311.15

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Solution

The fourth proportional to 493.40, 739.89 and 311.15 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.40 : 739.89 = 311.15 : x
  2. Step 2: Convert to fraction form
    493.40/739.89 = 311.15/x
  3. Step 3: Cross multiply
    493.40x = 739.89 × 311.15
  4. Step 4: Simplify right side
    493.40x = 230,213.07
  5. Step 5: Solve for x
    x = 230,213.07/493.40
  6. Step 6: Final answer
    x = 466.59

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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.