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Finding the Fourth Proportional to 506.18, 758.97 and 213.89

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Solution

The fourth proportional to 506.18, 758.97 and 213.89 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.18 : 758.97 = 213.89 : x
  2. Step 2: Convert to fraction form
    506.18/758.97 = 213.89/x
  3. Step 3: Cross multiply
    506.18x = 758.97 × 213.89
  4. Step 4: Simplify right side
    506.18x = 162,332.30
  5. Step 5: Solve for x
    x = 162,332.30/506.18
  6. Step 6: Final answer
    x = 320.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.