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Finding the Fourth Proportional to 563.45, 850.22 and 540.98

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Solution

The fourth proportional to 563.45, 850.22 and 540.98 is: 816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.45 : 850.22 = 540.98 : x
  2. Step 2: Convert to fraction form
    563.45/850.22 = 540.98/x
  3. Step 3: Cross multiply
    563.45x = 850.22 × 540.98
  4. Step 4: Simplify right side
    563.45x = 459,945.06
  5. Step 5: Solve for x
    x = 459,945.06/563.45
  6. Step 6: Final answer
    x = 816.31

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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.