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Finding the Fourth Proportional to 388.26, 582.12 and 193.01

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Solution

The fourth proportional to 388.26, 582.12 and 193.01 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 582.12 = 193.01 : x
  2. Step 2: Convert to fraction form
    388.26/582.12 = 193.01/x
  3. Step 3: Cross multiply
    388.26x = 582.12 × 193.01
  4. Step 4: Simplify right side
    388.26x = 112,352.07
  5. Step 5: Solve for x
    x = 112,352.07/388.26
  6. Step 6: Final answer
    x = 289.37

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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.