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Finding the Fourth Proportional to 664.66, 996.93 and 340.24

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Solution

The fourth proportional to 664.66, 996.93 and 340.24 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.66 : 996.93 = 340.24 : x
  2. Step 2: Convert to fraction form
    664.66/996.93 = 340.24/x
  3. Step 3: Cross multiply
    664.66x = 996.93 × 340.24
  4. Step 4: Simplify right side
    664.66x = 339,195.46
  5. Step 5: Solve for x
    x = 339,195.46/664.66
  6. Step 6: Final answer
    x = 510.33

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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.