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Finding the Fourth Proportional to 506.42, 757.87 and 311.33

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Solution

The fourth proportional to 506.42, 757.87 and 311.33 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 757.87 = 311.33 : x
  2. Step 2: Convert to fraction form
    506.42/757.87 = 311.33/x
  3. Step 3: Cross multiply
    506.42x = 757.87 × 311.33
  4. Step 4: Simplify right side
    506.42x = 235,947.67
  5. Step 5: Solve for x
    x = 235,947.67/506.42
  6. Step 6: Final answer
    x = 465.91

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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.