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Finding the Fourth Proportional to 286.86, 429.58 and 273.70

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Solution

The fourth proportional to 286.86, 429.58 and 273.70 is: 409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 429.58 = 273.70 : x
  2. Step 2: Convert to fraction form
    286.86/429.58 = 273.70/x
  3. Step 3: Cross multiply
    286.86x = 429.58 × 273.70
  4. Step 4: Simplify right side
    286.86x = 117,576.05
  5. Step 5: Solve for x
    x = 117,576.05/286.86
  6. Step 6: Final answer
    x = 409.87

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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.