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Finding the Fourth Proportional to 408.17, 563.31 and 242.42

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Solution

The fourth proportional to 408.17, 563.31 and 242.42 is: 334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.17 : 563.31 = 242.42 : x
  2. Step 2: Convert to fraction form
    408.17/563.31 = 242.42/x
  3. Step 3: Cross multiply
    408.17x = 563.31 × 242.42
  4. Step 4: Simplify right side
    408.17x = 136,556.40
  5. Step 5: Solve for x
    x = 136,556.40/408.17
  6. Step 6: Final answer
    x = 334.56

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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.