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Finding the Fourth Proportional to 578.43, 796.37 and 468.27

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Solution

The fourth proportional to 578.43, 796.37 and 468.27 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 796.37 = 468.27 : x
  2. Step 2: Convert to fraction form
    578.43/796.37 = 468.27/x
  3. Step 3: Cross multiply
    578.43x = 796.37 × 468.27
  4. Step 4: Simplify right side
    578.43x = 372,913.84
  5. Step 5: Solve for x
    x = 372,913.84/578.43
  6. Step 6: Final answer
    x = 644.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.