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Finding the Fourth Proportional to 370.94, 511.92 and 231.21

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Solution

The fourth proportional to 370.94, 511.92 and 231.21 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 511.92 = 231.21 : x
  2. Step 2: Convert to fraction form
    370.94/511.92 = 231.21/x
  3. Step 3: Cross multiply
    370.94x = 511.92 × 231.21
  4. Step 4: Simplify right side
    370.94x = 118,361.02
  5. Step 5: Solve for x
    x = 118,361.02/370.94
  6. Step 6: Final answer
    x = 319.09

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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.