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Finding the Fourth Proportional to 563.42, 845.08 and 173.42

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Solution

The fourth proportional to 563.42, 845.08 and 173.42 is: 260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.42 : 845.08 = 173.42 : x
  2. Step 2: Convert to fraction form
    563.42/845.08 = 173.42/x
  3. Step 3: Cross multiply
    563.42x = 845.08 × 173.42
  4. Step 4: Simplify right side
    563.42x = 146,553.77
  5. Step 5: Solve for x
    x = 146,553.77/563.42
  6. Step 6: Final answer
    x = 260.11

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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.