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Finding the Fourth Proportional to 664.40, 996.63 and 340.40

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Solution

The fourth proportional to 664.40, 996.63 and 340.40 is: 510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 996.63 = 340.40 : x
  2. Step 2: Convert to fraction form
    664.40/996.63 = 340.40/x
  3. Step 3: Cross multiply
    664.40x = 996.63 × 340.40
  4. Step 4: Simplify right side
    664.40x = 339,252.85
  5. Step 5: Solve for x
    x = 339,252.85/664.40
  6. Step 6: Final answer
    x = 510.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.