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Finding the Fourth Proportional to 355.98, 490.80 and 245.46

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Solution

The fourth proportional to 355.98, 490.80 and 245.46 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.98 : 490.80 = 245.46 : x
  2. Step 2: Convert to fraction form
    355.98/490.80 = 245.46/x
  3. Step 3: Cross multiply
    355.98x = 490.80 × 245.46
  4. Step 4: Simplify right side
    355.98x = 120,471.77
  5. Step 5: Solve for x
    x = 120,471.77/355.98
  6. Step 6: Final answer
    x = 338.42

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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.