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Finding the Fourth Proportional to 506.00, 758.82 and 213.54

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Solution

The fourth proportional to 506.00, 758.82 and 213.54 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.00 : 758.82 = 213.54 : x
  2. Step 2: Convert to fraction form
    506.00/758.82 = 213.54/x
  3. Step 3: Cross multiply
    506.00x = 758.82 × 213.54
  4. Step 4: Simplify right side
    506.00x = 162,039.22
  5. Step 5: Solve for x
    x = 162,039.22/506.00
  6. Step 6: Final answer
    x = 320.23

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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.