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Finding the Fourth Proportional to 360.82, 494.21 and 340.90

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Solution

The fourth proportional to 360.82, 494.21 and 340.90 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 494.21 = 340.90 : x
  2. Step 2: Convert to fraction form
    360.82/494.21 = 340.90/x
  3. Step 3: Cross multiply
    360.82x = 494.21 × 340.90
  4. Step 4: Simplify right side
    360.82x = 168,474.48
  5. Step 5: Solve for x
    x = 168,474.48/360.82
  6. Step 6: Final answer
    x = 466.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.