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Finding the Fourth Proportional to 392.59, 588.45 and 197.28

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Solution

The fourth proportional to 392.59, 588.45 and 197.28 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.59 : 588.45 = 197.28 : x
  2. Step 2: Convert to fraction form
    392.59/588.45 = 197.28/x
  3. Step 3: Cross multiply
    392.59x = 588.45 × 197.28
  4. Step 4: Simplify right side
    392.59x = 116,085.49
  5. Step 5: Solve for x
    x = 116,085.49/392.59
  6. Step 6: Final answer
    x = 295.70

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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.