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Finding the Fourth Proportional to 380.33, 524.87 and 286.91

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Solution

The fourth proportional to 380.33, 524.87 and 286.91 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.33 : 524.87 = 286.91 : x
  2. Step 2: Convert to fraction form
    380.33/524.87 = 286.91/x
  3. Step 3: Cross multiply
    380.33x = 524.87 × 286.91
  4. Step 4: Simplify right side
    380.33x = 150,588.54
  5. Step 5: Solve for x
    x = 150,588.54/380.33
  6. Step 6: Final answer
    x = 395.95

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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.