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Finding the Fourth Proportional to 493.07, 739.23 and 319.91

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Solution

The fourth proportional to 493.07, 739.23 and 319.91 is: 479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.07 : 739.23 = 319.91 : x
  2. Step 2: Convert to fraction form
    493.07/739.23 = 319.91/x
  3. Step 3: Cross multiply
    493.07x = 739.23 × 319.91
  4. Step 4: Simplify right side
    493.07x = 236,487.07
  5. Step 5: Solve for x
    x = 236,487.07/493.07
  6. Step 6: Final answer
    x = 479.62

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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.