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Finding the Fourth Proportional to 493.06, 739.59 and 289.05

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Solution

The fourth proportional to 493.06, 739.59 and 289.05 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.06 : 739.59 = 289.05 : x
  2. Step 2: Convert to fraction form
    493.06/739.59 = 289.05/x
  3. Step 3: Cross multiply
    493.06x = 739.59 × 289.05
  4. Step 4: Simplify right side
    493.06x = 213,778.49
  5. Step 5: Solve for x
    x = 213,778.49/493.06
  6. Step 6: Final answer
    x = 433.58

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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.