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Finding the Fourth Proportional to 506.28, 758.04 and 262.29

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Solution

The fourth proportional to 506.28, 758.04 and 262.29 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 758.04 = 262.29 : x
  2. Step 2: Convert to fraction form
    506.28/758.04 = 262.29/x
  3. Step 3: Cross multiply
    506.28x = 758.04 × 262.29
  4. Step 4: Simplify right side
    506.28x = 198,826.31
  5. Step 5: Solve for x
    x = 198,826.31/506.28
  6. Step 6: Final answer
    x = 392.72

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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.