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Finding the Fourth Proportional to 506.01, 759.20 and 231.96

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Solution

The fourth proportional to 506.01, 759.20 and 231.96 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 759.20 = 231.96 : x
  2. Step 2: Convert to fraction form
    506.01/759.20 = 231.96/x
  3. Step 3: Cross multiply
    506.01x = 759.20 × 231.96
  4. Step 4: Simplify right side
    506.01x = 176,102.87
  5. Step 5: Solve for x
    x = 176,102.87/506.01
  6. Step 6: Final answer
    x = 348.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.