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Finding the Fourth Proportional to 404.70, 558.33 and 238.78

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Solution

The fourth proportional to 404.70, 558.33 and 238.78 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 558.33 = 238.78 : x
  2. Step 2: Convert to fraction form
    404.70/558.33 = 238.78/x
  3. Step 3: Cross multiply
    404.70x = 558.33 × 238.78
  4. Step 4: Simplify right side
    404.70x = 133,318.04
  5. Step 5: Solve for x
    x = 133,318.04/404.70
  6. Step 6: Final answer
    x = 329.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.