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Finding the Fourth Proportional to 578.14, 866.46 and 404.56

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Solution

The fourth proportional to 578.14, 866.46 and 404.56 is: 606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 866.46 = 404.56 : x
  2. Step 2: Convert to fraction form
    578.14/866.46 = 404.56/x
  3. Step 3: Cross multiply
    578.14x = 866.46 × 404.56
  4. Step 4: Simplify right side
    578.14x = 350,535.06
  5. Step 5: Solve for x
    x = 350,535.06/578.14
  6. Step 6: Final answer
    x = 606.32

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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.