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Finding the Fourth Proportional to 389.53, 584.25 and 115.66

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Solution

The fourth proportional to 389.53, 584.25 and 115.66 is: 173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 584.25 = 115.66 : x
  2. Step 2: Convert to fraction form
    389.53/584.25 = 115.66/x
  3. Step 3: Cross multiply
    389.53x = 584.25 × 115.66
  4. Step 4: Simplify right side
    389.53x = 67,574.36
  5. Step 5: Solve for x
    x = 67,574.36/389.53
  6. Step 6: Final answer
    x = 173.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.