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Finding the Fourth Proportional to 563.52, 845.11 and 382.03

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Solution

The fourth proportional to 563.52, 845.11 and 382.03 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 845.11 = 382.03 : x
  2. Step 2: Convert to fraction form
    563.52/845.11 = 382.03/x
  3. Step 3: Cross multiply
    563.52x = 845.11 × 382.03
  4. Step 4: Simplify right side
    563.52x = 322,857.37
  5. Step 5: Solve for x
    x = 322,857.37/563.52
  6. Step 6: Final answer
    x = 572.93

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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.