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Finding the Fourth Proportional to 392.83, 589.26 and 392.26

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Solution

The fourth proportional to 392.83, 589.26 and 392.26 is: 588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.83 : 589.26 = 392.26 : x
  2. Step 2: Convert to fraction form
    392.83/589.26 = 392.26/x
  3. Step 3: Cross multiply
    392.83x = 589.26 × 392.26
  4. Step 4: Simplify right side
    392.83x = 231,143.13
  5. Step 5: Solve for x
    x = 231,143.13/392.83
  6. Step 6: Final answer
    x = 588.40

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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.