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Finding the Fourth Proportional to 563.90, 834.41 and 563.90

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Solution

The fourth proportional to 563.90, 834.41 and 563.90 is: 834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 834.41 = 563.90 : x
  2. Step 2: Convert to fraction form
    563.90/834.41 = 563.90/x
  3. Step 3: Cross multiply
    563.90x = 834.41 × 563.90
  4. Step 4: Simplify right side
    563.90x = 470,523.80
  5. Step 5: Solve for x
    x = 470,523.80/563.90
  6. Step 6: Final answer
    x = 834.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.