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Finding the Fourth Proportional to 387.67, 582.33 and 243.49

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Solution

The fourth proportional to 387.67, 582.33 and 243.49 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.67 : 582.33 = 243.49 : x
  2. Step 2: Convert to fraction form
    387.67/582.33 = 243.49/x
  3. Step 3: Cross multiply
    387.67x = 582.33 × 243.49
  4. Step 4: Simplify right side
    387.67x = 141,788.62
  5. Step 5: Solve for x
    x = 141,788.62/387.67
  6. Step 6: Final answer
    x = 365.75

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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.