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Finding the Fourth Proportional to 392.63, 589.05 and 186.90

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Solution

The fourth proportional to 392.63, 589.05 and 186.90 is: 280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 589.05 = 186.90 : x
  2. Step 2: Convert to fraction form
    392.63/589.05 = 186.90/x
  3. Step 3: Cross multiply
    392.63x = 589.05 × 186.90
  4. Step 4: Simplify right side
    392.63x = 110,093.45
  5. Step 5: Solve for x
    x = 110,093.45/392.63
  6. Step 6: Final answer
    x = 280.40

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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.