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Finding the Fourth Proportional to 392.04, 588.09 and 238.02

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Solution

The fourth proportional to 392.04, 588.09 and 238.02 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.04 : 588.09 = 238.02 : x
  2. Step 2: Convert to fraction form
    392.04/588.09 = 238.02/x
  3. Step 3: Cross multiply
    392.04x = 588.09 × 238.02
  4. Step 4: Simplify right side
    392.04x = 139,977.18
  5. Step 5: Solve for x
    x = 139,977.18/392.04
  6. Step 6: Final answer
    x = 357.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.