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Finding the Fourth Proportional to 392.28, 589.55 and 388.16

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Solution

The fourth proportional to 392.28, 589.55 and 388.16 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 589.55 = 388.16 : x
  2. Step 2: Convert to fraction form
    392.28/589.55 = 388.16/x
  3. Step 3: Cross multiply
    392.28x = 589.55 × 388.16
  4. Step 4: Simplify right side
    392.28x = 228,837.05
  5. Step 5: Solve for x
    x = 228,837.05/392.28
  6. Step 6: Final answer
    x = 583.36

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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.