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Finding the Fourth Proportional to 506.28, 759.42 and 232.38

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Solution

The fourth proportional to 506.28, 759.42 and 232.38 is: 348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 759.42 = 232.38 : x
  2. Step 2: Convert to fraction form
    506.28/759.42 = 232.38/x
  3. Step 3: Cross multiply
    506.28x = 759.42 × 232.38
  4. Step 4: Simplify right side
    506.28x = 176,474.02
  5. Step 5: Solve for x
    x = 176,474.02/506.28
  6. Step 6: Final answer
    x = 348.57

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Why These Related Problems?

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