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Finding the Fourth Proportional to 309.12, 461.87 and 272.22

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Solution

The fourth proportional to 309.12, 461.87 and 272.22 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 461.87 = 272.22 : x
  2. Step 2: Convert to fraction form
    309.12/461.87 = 272.22/x
  3. Step 3: Cross multiply
    309.12x = 461.87 × 272.22
  4. Step 4: Simplify right side
    309.12x = 125,730.25
  5. Step 5: Solve for x
    x = 125,730.25/309.12
  6. Step 6: Final answer
    x = 406.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.