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Finding the Fourth Proportional to 506.18, 758.94 and 213.88

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Solution

The fourth proportional to 506.18, 758.94 and 213.88 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.18 : 758.94 = 213.88 : x
  2. Step 2: Convert to fraction form
    506.18/758.94 = 213.88/x
  3. Step 3: Cross multiply
    506.18x = 758.94 × 213.88
  4. Step 4: Simplify right side
    506.18x = 162,322.09
  5. Step 5: Solve for x
    x = 162,322.09/506.18
  6. Step 6: Final answer
    x = 320.68

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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.