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Finding the Fourth Proportional to 311.01, 468.62 and 258.09

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Solution

The fourth proportional to 311.01, 468.62 and 258.09 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.01 : 468.62 = 258.09 : x
  2. Step 2: Convert to fraction form
    311.01/468.62 = 258.09/x
  3. Step 3: Cross multiply
    311.01x = 468.62 × 258.09
  4. Step 4: Simplify right side
    311.01x = 120,946.78
  5. Step 5: Solve for x
    x = 120,946.78/311.01
  6. Step 6: Final answer
    x = 388.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.