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Finding the Fourth Proportional to 370.92, 511.67 and 231.06

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Solution

The fourth proportional to 370.92, 511.67 and 231.06 is: 318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.92 : 511.67 = 231.06 : x
  2. Step 2: Convert to fraction form
    370.92/511.67 = 231.06/x
  3. Step 3: Cross multiply
    370.92x = 511.67 × 231.06
  4. Step 4: Simplify right side
    370.92x = 118,225.31
  5. Step 5: Solve for x
    x = 118,225.31/370.92
  6. Step 6: Final answer
    x = 318.74

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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.