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Finding the Fourth Proportional to 576, 863.46 and 392.94

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Solution

The fourth proportional to 576, 863.46 and 392.94 is: 589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 863.46 = 392.94 : x
  2. Step 2: Convert to fraction form
    576/863.46 = 392.94/x
  3. Step 3: Cross multiply
    576x = 863.46 × 392.94
  4. Step 4: Simplify right side
    576x = 339,287.97
  5. Step 5: Solve for x
    x = 339,287.97/576
  6. Step 6: Final answer
    x = 589.04

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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.