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Finding the Fourth Proportional to 392.21, 588.38 and 175.79

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Solution

The fourth proportional to 392.21, 588.38 and 175.79 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.21 : 588.38 = 175.79 : x
  2. Step 2: Convert to fraction form
    392.21/588.38 = 175.79/x
  3. Step 3: Cross multiply
    392.21x = 588.38 × 175.79
  4. Step 4: Simplify right side
    392.21x = 103,428.82
  5. Step 5: Solve for x
    x = 103,428.82/392.21
  6. Step 6: Final answer
    x = 263.71

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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.