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Finding the Fourth Proportional to 578.82, 798.86 and 382.22

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Solution

The fourth proportional to 578.82, 798.86 and 382.22 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 798.86 = 382.22 : x
  2. Step 2: Convert to fraction form
    578.82/798.86 = 382.22/x
  3. Step 3: Cross multiply
    578.82x = 798.86 × 382.22
  4. Step 4: Simplify right side
    578.82x = 305,337.23
  5. Step 5: Solve for x
    x = 305,337.23/578.82
  6. Step 6: Final answer
    x = 527.52

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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.