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Finding the Fourth Proportional to 392.03, 588.05 and 103.47

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Solution

The fourth proportional to 392.03, 588.05 and 103.47 is: 155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.03 : 588.05 = 103.47 : x
  2. Step 2: Convert to fraction form
    392.03/588.05 = 103.47/x
  3. Step 3: Cross multiply
    392.03x = 588.05 × 103.47
  4. Step 4: Simplify right side
    392.03x = 60,845.53
  5. Step 5: Solve for x
    x = 60,845.53/392.03
  6. Step 6: Final answer
    x = 155.21

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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.