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Finding the Fourth Proportional to 392.57, 588.33 and 209.57

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Solution

The fourth proportional to 392.57, 588.33 and 209.57 is: 314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 588.33 = 209.57 : x
  2. Step 2: Convert to fraction form
    392.57/588.33 = 209.57/x
  3. Step 3: Cross multiply
    392.57x = 588.33 × 209.57
  4. Step 4: Simplify right side
    392.57x = 123,293.38
  5. Step 5: Solve for x
    x = 123,293.38/392.57
  6. Step 6: Final answer
    x = 314.07

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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.