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Finding the Fourth Proportional to 506.12, 758.34 and 352.31

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Solution

The fourth proportional to 506.12, 758.34 and 352.31 is: 527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 758.34 = 352.31 : x
  2. Step 2: Convert to fraction form
    506.12/758.34 = 352.31/x
  3. Step 3: Cross multiply
    506.12x = 758.34 × 352.31
  4. Step 4: Simplify right side
    506.12x = 267,166.97
  5. Step 5: Solve for x
    x = 267,166.97/506.12
  6. Step 6: Final answer
    x = 527.88

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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.