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Finding the Fourth Proportional to 966.56, 1,449.93 and 273.25

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Solution

The fourth proportional to 966.56, 1,449.93 and 273.25 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.56 : 1,449.93 = 273.25 : x
  2. Step 2: Convert to fraction form
    966.56/1,449.93 = 273.25/x
  3. Step 3: Cross multiply
    966.56x = 1,449.93 × 273.25
  4. Step 4: Simplify right side
    966.56x = 396,196.21
  5. Step 5: Solve for x
    x = 396,196.21/966.56
  6. Step 6: Final answer
    x = 409.90

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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.