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Finding the Fourth Proportional to 388.40, 582.02 and 193.24

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Solution

The fourth proportional to 388.40, 582.02 and 193.24 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 582.02 = 193.24 : x
  2. Step 2: Convert to fraction form
    388.40/582.02 = 193.24/x
  3. Step 3: Cross multiply
    388.40x = 582.02 × 193.24
  4. Step 4: Simplify right side
    388.40x = 112,469.54
  5. Step 5: Solve for x
    x = 112,469.54/388.40
  6. Step 6: Final answer
    x = 289.57

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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.