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Finding the Fourth Proportional to 392.82, 589.26 and 104.25

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Solution

The fourth proportional to 392.82, 589.26 and 104.25 is: 156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 589.26 = 104.25 : x
  2. Step 2: Convert to fraction form
    392.82/589.26 = 104.25/x
  3. Step 3: Cross multiply
    392.82x = 589.26 × 104.25
  4. Step 4: Simplify right side
    392.82x = 61,430.36
  5. Step 5: Solve for x
    x = 61,430.36/392.82
  6. Step 6: Final answer
    x = 156.38

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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.