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Finding the Fourth Proportional to 563.67, 845.12 and 289.24

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Solution

The fourth proportional to 563.67, 845.12 and 289.24 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.67 : 845.12 = 289.24 : x
  2. Step 2: Convert to fraction form
    563.67/845.12 = 289.24/x
  3. Step 3: Cross multiply
    563.67x = 845.12 × 289.24
  4. Step 4: Simplify right side
    563.67x = 244,441.12
  5. Step 5: Solve for x
    x = 244,441.12/563.67
  6. Step 6: Final answer
    x = 433.66

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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.