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Finding the Fourth Proportional to 493.14, 739.07 and 424.20

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Solution

The fourth proportional to 493.14, 739.07 and 424.20 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 739.07 = 424.20 : x
  2. Step 2: Convert to fraction form
    493.14/739.07 = 424.20/x
  3. Step 3: Cross multiply
    493.14x = 739.07 × 424.20
  4. Step 4: Simplify right side
    493.14x = 313,511.37
  5. Step 5: Solve for x
    x = 313,511.37/493.14
  6. Step 6: Final answer
    x = 635.75

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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.