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Finding the Fourth Proportional to 389.44, 584.11 and 100.86

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Solution

The fourth proportional to 389.44, 584.11 and 100.86 is: 151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 584.11 = 100.86 : x
  2. Step 2: Convert to fraction form
    389.44/584.11 = 100.86/x
  3. Step 3: Cross multiply
    389.44x = 584.11 × 100.86
  4. Step 4: Simplify right side
    389.44x = 58,913.33
  5. Step 5: Solve for x
    x = 58,913.33/389.44
  6. Step 6: Final answer
    x = 151.28

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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.