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Finding the Fourth Proportional to 389.49, 584.33 and 173.13

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Solution

The fourth proportional to 389.49, 584.33 and 173.13 is: 259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.49 : 584.33 = 173.13 : x
  2. Step 2: Convert to fraction form
    389.49/584.33 = 173.13/x
  3. Step 3: Cross multiply
    389.49x = 584.33 × 173.13
  4. Step 4: Simplify right side
    389.49x = 101,165.05
  5. Step 5: Solve for x
    x = 101,165.05/389.49
  6. Step 6: Final answer
    x = 259.74

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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.