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Finding the Fourth Proportional to 543.88, 816.54 and 422.92

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Solution

The fourth proportional to 543.88, 816.54 and 422.92 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 816.54 = 422.92 : x
  2. Step 2: Convert to fraction form
    543.88/816.54 = 422.92/x
  3. Step 3: Cross multiply
    543.88x = 816.54 × 422.92
  4. Step 4: Simplify right side
    543.88x = 345,331.10
  5. Step 5: Solve for x
    x = 345,331.10/543.88
  6. Step 6: Final answer
    x = 634.94

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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.