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Finding the Fourth Proportional to 563.89, 844.89 and 481.90

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Solution

The fourth proportional to 563.89, 844.89 and 481.90 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.89 : 844.89 = 481.90 : x
  2. Step 2: Convert to fraction form
    563.89/844.89 = 481.90/x
  3. Step 3: Cross multiply
    563.89x = 844.89 × 481.90
  4. Step 4: Simplify right side
    563.89x = 407,152.49
  5. Step 5: Solve for x
    x = 407,152.49/563.89
  6. Step 6: Final answer
    x = 722.04

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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.