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Finding the Fourth Proportional to 388.68, 582.84 and 196.08

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Solution

The fourth proportional to 388.68, 582.84 and 196.08 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 582.84 = 196.08 : x
  2. Step 2: Convert to fraction form
    388.68/582.84 = 196.08/x
  3. Step 3: Cross multiply
    388.68x = 582.84 × 196.08
  4. Step 4: Simplify right side
    388.68x = 114,283.27
  5. Step 5: Solve for x
    x = 114,283.27/388.68
  6. Step 6: Final answer
    x = 294.03

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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.