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Finding the Fourth Proportional to 578.21, 798.26 and 382.29

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Solution

The fourth proportional to 578.21, 798.26 and 382.29 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 798.26 = 382.29 : x
  2. Step 2: Convert to fraction form
    578.21/798.26 = 382.29/x
  3. Step 3: Cross multiply
    578.21x = 798.26 × 382.29
  4. Step 4: Simplify right side
    578.21x = 305,166.82
  5. Step 5: Solve for x
    x = 305,166.82/578.21
  6. Step 6: Final answer
    x = 527.78

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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.