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Finding the Fourth Proportional to 493.30, 739.14 and 319.96

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Solution

The fourth proportional to 493.30, 739.14 and 319.96 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 739.14 = 319.96 : x
  2. Step 2: Convert to fraction form
    493.30/739.14 = 319.96/x
  3. Step 3: Cross multiply
    493.30x = 739.14 × 319.96
  4. Step 4: Simplify right side
    493.30x = 236,495.23
  5. Step 5: Solve for x
    x = 236,495.23/493.30
  6. Step 6: Final answer
    x = 479.41

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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.