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Finding the Fourth Proportional to 355.97, 490.98 and 245.70

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Solution

The fourth proportional to 355.97, 490.98 and 245.70 is: 338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 490.98 = 245.70 : x
  2. Step 2: Convert to fraction form
    355.97/490.98 = 245.70/x
  3. Step 3: Cross multiply
    355.97x = 490.98 × 245.70
  4. Step 4: Simplify right side
    355.97x = 120,633.79
  5. Step 5: Solve for x
    x = 120,633.79/355.97
  6. Step 6: Final answer
    x = 338.89

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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.