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Finding the Fourth Proportional to 311.08, 428.34 and 275.60

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Solution

The fourth proportional to 311.08, 428.34 and 275.60 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.08 : 428.34 = 275.60 : x
  2. Step 2: Convert to fraction form
    311.08/428.34 = 275.60/x
  3. Step 3: Cross multiply
    311.08x = 428.34 × 275.60
  4. Step 4: Simplify right side
    311.08x = 118,050.50
  5. Step 5: Solve for x
    x = 118,050.50/311.08
  6. Step 6: Final answer
    x = 379.49

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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.