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Finding the Fourth Proportional to 966.39, 1,449.69 and 273.06

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Solution

The fourth proportional to 966.39, 1,449.69 and 273.06 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.39 : 1,449.69 = 273.06 : x
  2. Step 2: Convert to fraction form
    966.39/1,449.69 = 273.06/x
  3. Step 3: Cross multiply
    966.39x = 1,449.69 × 273.06
  4. Step 4: Simplify right side
    966.39x = 395,852.35
  5. Step 5: Solve for x
    x = 395,852.35/966.39
  6. Step 6: Final answer
    x = 409.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.