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Finding the Fourth Proportional to 578.82, 798.49 and 357.69

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Solution

The fourth proportional to 578.82, 798.49 and 357.69 is: 493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 798.49 = 357.69 : x
  2. Step 2: Convert to fraction form
    578.82/798.49 = 357.69/x
  3. Step 3: Cross multiply
    578.82x = 798.49 × 357.69
  4. Step 4: Simplify right side
    578.82x = 285,611.89
  5. Step 5: Solve for x
    x = 285,611.89/578.82
  6. Step 6: Final answer
    x = 493.44

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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.