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Finding the Fourth Proportional to 490.73, 677.34 and 343.40

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Solution

The fourth proportional to 490.73, 677.34 and 343.40 is: 473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 677.34 = 343.40 : x
  2. Step 2: Convert to fraction form
    490.73/677.34 = 343.40/x
  3. Step 3: Cross multiply
    490.73x = 677.34 × 343.40
  4. Step 4: Simplify right side
    490.73x = 232,595.17
  5. Step 5: Solve for x
    x = 232,595.17/490.73
  6. Step 6: Final answer
    x = 473.98

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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.