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Finding the Fourth Proportional to 311.18, 428.97 and 258.08

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Solution

The fourth proportional to 311.18, 428.97 and 258.08 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 428.97 = 258.08 : x
  2. Step 2: Convert to fraction form
    311.18/428.97 = 258.08/x
  3. Step 3: Cross multiply
    311.18x = 428.97 × 258.08
  4. Step 4: Simplify right side
    311.18x = 110,708.58
  5. Step 5: Solve for x
    x = 110,708.58/311.18
  6. Step 6: Final answer
    x = 355.77

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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.