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Finding the Fourth Proportional to 966.19, 1,449.29 and 272.86

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Solution

The fourth proportional to 966.19, 1,449.29 and 272.86 is: 409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.19 : 1,449.29 = 272.86 : x
  2. Step 2: Convert to fraction form
    966.19/1,449.29 = 272.86/x
  3. Step 3: Cross multiply
    966.19x = 1,449.29 × 272.86
  4. Step 4: Simplify right side
    966.19x = 395,448.29
  5. Step 5: Solve for x
    x = 395,448.29/966.19
  6. Step 6: Final answer
    x = 409.29

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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.