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Finding the Fourth Proportional to 311.25, 429.03 and 287.94

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Solution

The fourth proportional to 311.25, 429.03 and 287.94 is: 396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.25 : 429.03 = 287.94 : x
  2. Step 2: Convert to fraction form
    311.25/429.03 = 287.94/x
  3. Step 3: Cross multiply
    311.25x = 429.03 × 287.94
  4. Step 4: Simplify right side
    311.25x = 123,534.90
  5. Step 5: Solve for x
    x = 123,534.90/311.25
  6. Step 6: Final answer
    x = 396.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.