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Finding the Fourth Proportional to 506.34, 759.33 and 262.80

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Solution

The fourth proportional to 506.34, 759.33 and 262.80 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.34 : 759.33 = 262.80 : x
  2. Step 2: Convert to fraction form
    506.34/759.33 = 262.80/x
  3. Step 3: Cross multiply
    506.34x = 759.33 × 262.80
  4. Step 4: Simplify right side
    506.34x = 199,551.92
  5. Step 5: Solve for x
    x = 199,551.92/506.34
  6. Step 6: Final answer
    x = 394.11

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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.