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Finding the Fourth Proportional to 389.54, 584.33 and 173.07

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Solution

The fourth proportional to 389.54, 584.33 and 173.07 is: 259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.54 : 584.33 = 173.07 : x
  2. Step 2: Convert to fraction form
    389.54/584.33 = 173.07/x
  3. Step 3: Cross multiply
    389.54x = 584.33 × 173.07
  4. Step 4: Simplify right side
    389.54x = 101,129.13
  5. Step 5: Solve for x
    x = 101,129.13/389.54
  6. Step 6: Final answer
    x = 259.61

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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.