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Finding the Fourth Proportional to 578.38, 798.12 and 357.33

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Solution

The fourth proportional to 578.38, 798.12 and 357.33 is: 493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 798.12 = 357.33 : x
  2. Step 2: Convert to fraction form
    578.38/798.12 = 357.33/x
  3. Step 3: Cross multiply
    578.38x = 798.12 × 357.33
  4. Step 4: Simplify right side
    578.38x = 285,192.22
  5. Step 5: Solve for x
    x = 285,192.22/578.38
  6. Step 6: Final answer
    x = 493.09

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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.