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Finding the Fourth Proportional to 389.33, 584.01 and 129.21

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Solution

The fourth proportional to 389.33, 584.01 and 129.21 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.33 : 584.01 = 129.21 : x
  2. Step 2: Convert to fraction form
    389.33/584.01 = 129.21/x
  3. Step 3: Cross multiply
    389.33x = 584.01 × 129.21
  4. Step 4: Simplify right side
    389.33x = 75,459.93
  5. Step 5: Solve for x
    x = 75,459.93/389.33
  6. Step 6: Final answer
    x = 193.82

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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.