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Finding the Fourth Proportional to 578.43, 866.63 and 404.73

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Solution

The fourth proportional to 578.43, 866.63 and 404.73 is: 606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 866.63 = 404.73 : x
  2. Step 2: Convert to fraction form
    578.43/866.63 = 404.73/x
  3. Step 3: Cross multiply
    578.43x = 866.63 × 404.73
  4. Step 4: Simplify right side
    578.43x = 350,749.14
  5. Step 5: Solve for x
    x = 350,749.14/578.43
  6. Step 6: Final answer
    x = 606.38

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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.