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Finding the Fourth Proportional to 387.25, 580.87 and 213.91

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Solution

The fourth proportional to 387.25, 580.87 and 213.91 is: 320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.25 : 580.87 = 213.91 : x
  2. Step 2: Convert to fraction form
    387.25/580.87 = 213.91/x
  3. Step 3: Cross multiply
    387.25x = 580.87 × 213.91
  4. Step 4: Simplify right side
    387.25x = 124,252.72
  5. Step 5: Solve for x
    x = 124,252.72/387.25
  6. Step 6: Final answer
    x = 320.86

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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.