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Finding the Fourth Proportional to 387.67, 580.47 and 213.52

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Solution

The fourth proportional to 387.67, 580.47 and 213.52 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.67 : 580.47 = 213.52 : x
  2. Step 2: Convert to fraction form
    387.67/580.47 = 213.52/x
  3. Step 3: Cross multiply
    387.67x = 580.47 × 213.52
  4. Step 4: Simplify right side
    387.67x = 123,941.95
  5. Step 5: Solve for x
    x = 123,941.95/387.67
  6. Step 6: Final answer
    x = 319.71

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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.