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Finding the Fourth Proportional to 563.52, 777.52 and 367.04

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Solution

The fourth proportional to 563.52, 777.52 and 367.04 is: 506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 777.52 = 367.04 : x
  2. Step 2: Convert to fraction form
    563.52/777.52 = 367.04/x
  3. Step 3: Cross multiply
    563.52x = 777.52 × 367.04
  4. Step 4: Simplify right side
    563.52x = 285,380.94
  5. Step 5: Solve for x
    x = 285,380.94/563.52
  6. Step 6: Final answer
    x = 506.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.