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Finding the Fourth Proportional to 392.42, 588.41 and 348.01

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Solution

The fourth proportional to 392.42, 588.41 and 348.01 is: 521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 588.41 = 348.01 : x
  2. Step 2: Convert to fraction form
    392.42/588.41 = 348.01/x
  3. Step 3: Cross multiply
    392.42x = 588.41 × 348.01
  4. Step 4: Simplify right side
    392.42x = 204,772.56
  5. Step 5: Solve for x
    x = 204,772.56/392.42
  6. Step 6: Final answer
    x = 521.82

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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.