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Finding the Fourth Proportional to 965.65, 1,448.49 and 298.55

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Solution

The fourth proportional to 965.65, 1,448.49 and 298.55 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.65 : 1,448.49 = 298.55 : x
  2. Step 2: Convert to fraction form
    965.65/1,448.49 = 298.55/x
  3. Step 3: Cross multiply
    965.65x = 1,448.49 × 298.55
  4. Step 4: Simplify right side
    965.65x = 432,446.69
  5. Step 5: Solve for x
    x = 432,446.69/965.65
  6. Step 6: Final answer
    x = 447.83

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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.