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Finding the Fourth Proportional to 331.70, 458.06 and 257.99

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Solution

The fourth proportional to 331.70, 458.06 and 257.99 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.70 : 458.06 = 257.99 : x
  2. Step 2: Convert to fraction form
    331.70/458.06 = 257.99/x
  3. Step 3: Cross multiply
    331.70x = 458.06 × 257.99
  4. Step 4: Simplify right side
    331.70x = 118,171.32
  5. Step 5: Solve for x
    x = 118,171.32/331.70
  6. Step 6: Final answer
    x = 356.27

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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.