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Finding the Fourth Proportional to 354.50, 490.12 and 339.20

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Solution

The fourth proportional to 354.50, 490.12 and 339.20 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.50 : 490.12 = 339.20 : x
  2. Step 2: Convert to fraction form
    354.50/490.12 = 339.20/x
  3. Step 3: Cross multiply
    354.50x = 490.12 × 339.20
  4. Step 4: Simplify right side
    354.50x = 166,248.70
  5. Step 5: Solve for x
    x = 166,248.70/354.50
  6. Step 6: Final answer
    x = 468.97

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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.