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Finding the Fourth Proportional to 506.54, 759.63 and 246.54

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Solution

The fourth proportional to 506.54, 759.63 and 246.54 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.54 : 759.63 = 246.54 : x
  2. Step 2: Convert to fraction form
    506.54/759.63 = 246.54/x
  3. Step 3: Cross multiply
    506.54x = 759.63 × 246.54
  4. Step 4: Simplify right side
    506.54x = 187,279.18
  5. Step 5: Solve for x
    x = 187,279.18/506.54
  6. Step 6: Final answer
    x = 369.72

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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.