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Finding the Fourth Proportional to 506.12, 758.88 and 343.31

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Solution

The fourth proportional to 506.12, 758.88 and 343.31 is: 514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 758.88 = 343.31 : x
  2. Step 2: Convert to fraction form
    506.12/758.88 = 343.31/x
  3. Step 3: Cross multiply
    506.12x = 758.88 × 343.31
  4. Step 4: Simplify right side
    506.12x = 260,529.38
  5. Step 5: Solve for x
    x = 260,529.38/506.12
  6. Step 6: Final answer
    x = 514.76

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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.