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Finding the Fourth Proportional to 392.84, 590.39 and 388.72

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Solution

The fourth proportional to 392.84, 590.39 and 388.72 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 590.39 = 388.72 : x
  2. Step 2: Convert to fraction form
    392.84/590.39 = 388.72/x
  3. Step 3: Cross multiply
    392.84x = 590.39 × 388.72
  4. Step 4: Simplify right side
    392.84x = 229,496.65
  5. Step 5: Solve for x
    x = 229,496.65/392.84
  6. Step 6: Final answer
    x = 584.20

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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.