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Finding the Fourth Proportional to 506.76, 759.06 and 351.96

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Solution

The fourth proportional to 506.76, 759.06 and 351.96 is: 527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 759.06 = 351.96 : x
  2. Step 2: Convert to fraction form
    506.76/759.06 = 351.96/x
  3. Step 3: Cross multiply
    506.76x = 759.06 × 351.96
  4. Step 4: Simplify right side
    506.76x = 267,158.76
  5. Step 5: Solve for x
    x = 267,158.76/506.76
  6. Step 6: Final answer
    x = 527.19

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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.