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Finding the Fourth Proportional to 506.09, 759.33 and 213.66

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Solution

The fourth proportional to 506.09, 759.33 and 213.66 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 759.33 = 213.66 : x
  2. Step 2: Convert to fraction form
    506.09/759.33 = 213.66/x
  3. Step 3: Cross multiply
    506.09x = 759.33 × 213.66
  4. Step 4: Simplify right side
    506.09x = 162,238.45
  5. Step 5: Solve for x
    x = 162,238.45/506.09
  6. Step 6: Final answer
    x = 320.58

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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.