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Finding the Fourth Proportional to 563.10, 843.34 and 543.63

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Solution

The fourth proportional to 563.10, 843.34 and 543.63 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 843.34 = 543.63 : x
  2. Step 2: Convert to fraction form
    563.10/843.34 = 543.63/x
  3. Step 3: Cross multiply
    563.10x = 843.34 × 543.63
  4. Step 4: Simplify right side
    563.10x = 458,464.92
  5. Step 5: Solve for x
    x = 458,464.92/563.10
  6. Step 6: Final answer
    x = 814.18

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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.