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Finding the Fourth Proportional to 563.56, 845.10 and 173.46

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Solution

The fourth proportional to 563.56, 845.10 and 173.46 is: 260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 845.10 = 173.46 : x
  2. Step 2: Convert to fraction form
    563.56/845.10 = 173.46/x
  3. Step 3: Cross multiply
    563.56x = 845.10 × 173.46
  4. Step 4: Simplify right side
    563.56x = 146,591.05
  5. Step 5: Solve for x
    x = 146,591.05/563.56
  6. Step 6: Final answer
    x = 260.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.