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Finding the Fourth Proportional to 665.40, 998.82 and 340.68

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Solution

The fourth proportional to 665.40, 998.82 and 340.68 is: 511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 998.82 = 340.68 : x
  2. Step 2: Convert to fraction form
    665.40/998.82 = 340.68/x
  3. Step 3: Cross multiply
    665.40x = 998.82 × 340.68
  4. Step 4: Simplify right side
    665.40x = 340,278.00
  5. Step 5: Solve for x
    x = 340,278.00/665.40
  6. Step 6: Final answer
    x = 511.39

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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.