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Finding the Fourth Proportional to 388.38, 582.56 and 128.56

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Solution

The fourth proportional to 388.38, 582.56 and 128.56 is: 192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.38 : 582.56 = 128.56 : x
  2. Step 2: Convert to fraction form
    388.38/582.56 = 128.56/x
  3. Step 3: Cross multiply
    388.38x = 582.56 × 128.56
  4. Step 4: Simplify right side
    388.38x = 74,893.91
  5. Step 5: Solve for x
    x = 74,893.91/388.38
  6. Step 6: Final answer
    x = 192.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.