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Finding the Fourth Proportional to 493.38, 739.89 and 204.84

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Solution

The fourth proportional to 493.38, 739.89 and 204.84 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 739.89 = 204.84 : x
  2. Step 2: Convert to fraction form
    493.38/739.89 = 204.84/x
  3. Step 3: Cross multiply
    493.38x = 739.89 × 204.84
  4. Step 4: Simplify right side
    493.38x = 151,559.07
  5. Step 5: Solve for x
    x = 151,559.07/493.38
  6. Step 6: Final answer
    x = 307.19

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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.