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Finding the Fourth Proportional to 379.99, 524.38 and 205.33

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Solution

The fourth proportional to 379.99, 524.38 and 205.33 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.99 : 524.38 = 205.33 : x
  2. Step 2: Convert to fraction form
    379.99/524.38 = 205.33/x
  3. Step 3: Cross multiply
    379.99x = 524.38 × 205.33
  4. Step 4: Simplify right side
    379.99x = 107,671.52
  5. Step 5: Solve for x
    x = 107,671.52/379.99
  6. Step 6: Final answer
    x = 283.36

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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.