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Finding the Fourth Proportional to 408.14, 562.98 and 242.24

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Solution

The fourth proportional to 408.14, 562.98 and 242.24 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 562.98 = 242.24 : x
  2. Step 2: Convert to fraction form
    408.14/562.98 = 242.24/x
  3. Step 3: Cross multiply
    408.14x = 562.98 × 242.24
  4. Step 4: Simplify right side
    408.14x = 136,375.57
  5. Step 5: Solve for x
    x = 136,375.57/408.14
  6. Step 6: Final answer
    x = 334.14

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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.