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Finding the Fourth Proportional to 352.86, 486.41 and 242.09

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Solution

The fourth proportional to 352.86, 486.41 and 242.09 is: 333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.86 : 486.41 = 242.09 : x
  2. Step 2: Convert to fraction form
    352.86/486.41 = 242.09/x
  3. Step 3: Cross multiply
    352.86x = 486.41 × 242.09
  4. Step 4: Simplify right side
    352.86x = 117,753.18
  5. Step 5: Solve for x
    x = 117,753.18/352.86
  6. Step 6: Final answer
    x = 333.71

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Why These Related Problems?

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