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Finding the Fourth Proportional to 493.45, 739.70 and 200.88

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Solution

The fourth proportional to 493.45, 739.70 and 200.88 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.45 : 739.70 = 200.88 : x
  2. Step 2: Convert to fraction form
    493.45/739.70 = 200.88/x
  3. Step 3: Cross multiply
    493.45x = 739.70 × 200.88
  4. Step 4: Simplify right side
    493.45x = 148,590.94
  5. Step 5: Solve for x
    x = 148,590.94/493.45
  6. Step 6: Final answer
    x = 301.13

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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.