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Finding the Fourth Proportional to 660.98, 991.66 and 295.80

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Solution

The fourth proportional to 660.98, 991.66 and 295.80 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.98 : 991.66 = 295.80 : x
  2. Step 2: Convert to fraction form
    660.98/991.66 = 295.80/x
  3. Step 3: Cross multiply
    660.98x = 991.66 × 295.80
  4. Step 4: Simplify right side
    660.98x = 293,333.03
  5. Step 5: Solve for x
    x = 293,333.03/660.98
  6. Step 6: Final answer
    x = 443.79

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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.