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Finding the Fourth Proportional to 379.69, 524.15 and 286.48

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Solution

The fourth proportional to 379.69, 524.15 and 286.48 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 524.15 = 286.48 : x
  2. Step 2: Convert to fraction form
    379.69/524.15 = 286.48/x
  3. Step 3: Cross multiply
    379.69x = 524.15 × 286.48
  4. Step 4: Simplify right side
    379.69x = 150,155.87
  5. Step 5: Solve for x
    x = 150,155.87/379.69
  6. Step 6: Final answer
    x = 395.47

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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.