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Finding the Fourth Proportional to 389.51, 584.17 and 115.53

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Solution

The fourth proportional to 389.51, 584.17 and 115.53 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.51 : 584.17 = 115.53 : x
  2. Step 2: Convert to fraction form
    389.51/584.17 = 115.53/x
  3. Step 3: Cross multiply
    389.51x = 584.17 × 115.53
  4. Step 4: Simplify right side
    389.51x = 67,488.58
  5. Step 5: Solve for x
    x = 67,488.58/389.51
  6. Step 6: Final answer
    x = 173.27

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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.