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Finding the Fourth Proportional to 392.87, 588.75 and 289.34

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Solution

The fourth proportional to 392.87, 588.75 and 289.34 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.87 : 588.75 = 289.34 : x
  2. Step 2: Convert to fraction form
    392.87/588.75 = 289.34/x
  3. Step 3: Cross multiply
    392.87x = 588.75 × 289.34
  4. Step 4: Simplify right side
    392.87x = 170,350.40
  5. Step 5: Solve for x
    x = 170,350.40/392.87
  6. Step 6: Final answer
    x = 433.60

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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.