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Finding the Fourth Proportional to 573.69, 863.67 and 392.23

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Solution

The fourth proportional to 573.69, 863.67 and 392.23 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 863.67 = 392.23 : x
  2. Step 2: Convert to fraction form
    573.69/863.67 = 392.23/x
  3. Step 3: Cross multiply
    573.69x = 863.67 × 392.23
  4. Step 4: Simplify right side
    573.69x = 338,757.28
  5. Step 5: Solve for x
    x = 338,757.28/573.69
  6. Step 6: Final answer
    x = 590.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.