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Finding the Fourth Proportional to 389.66, 584.36 and 129.60

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Solution

The fourth proportional to 389.66, 584.36 and 129.60 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.66 : 584.36 = 129.60 : x
  2. Step 2: Convert to fraction form
    389.66/584.36 = 129.60/x
  3. Step 3: Cross multiply
    389.66x = 584.36 × 129.60
  4. Step 4: Simplify right side
    389.66x = 75,732.41
  5. Step 5: Solve for x
    x = 75,732.41/389.66
  6. Step 6: Final answer
    x = 194.36

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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.