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Finding the Fourth Proportional to 563.36, 845.03 and 289.31

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Solution

The fourth proportional to 563.36, 845.03 and 289.31 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.36 : 845.03 = 289.31 : x
  2. Step 2: Convert to fraction form
    563.36/845.03 = 289.31/x
  3. Step 3: Cross multiply
    563.36x = 845.03 × 289.31
  4. Step 4: Simplify right side
    563.36x = 244,472.13
  5. Step 5: Solve for x
    x = 244,472.13/563.36
  6. Step 6: Final answer
    x = 433.96

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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.