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Finding the Fourth Proportional to 381.61, 573.09 and 284.14

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Solution

The fourth proportional to 381.61, 573.09 and 284.14 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 573.09 = 284.14 : x
  2. Step 2: Convert to fraction form
    381.61/573.09 = 284.14/x
  3. Step 3: Cross multiply
    381.61x = 573.09 × 284.14
  4. Step 4: Simplify right side
    381.61x = 162,833.51
  5. Step 5: Solve for x
    x = 162,833.51/381.61
  6. Step 6: Final answer
    x = 426.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.