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Finding the Fourth Proportional to 353.92, 488.78 and 243.68

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Solution

The fourth proportional to 353.92, 488.78 and 243.68 is: 336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.92 : 488.78 = 243.68 : x
  2. Step 2: Convert to fraction form
    353.92/488.78 = 243.68/x
  3. Step 3: Cross multiply
    353.92x = 488.78 × 243.68
  4. Step 4: Simplify right side
    353.92x = 119,105.91
  5. Step 5: Solve for x
    x = 119,105.91/353.92
  6. Step 6: Final answer
    x = 336.53

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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.