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Finding the Fourth Proportional to 505.73, 757.97 and 216.83

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Solution

The fourth proportional to 505.73, 757.97 and 216.83 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 757.97 = 216.83 : x
  2. Step 2: Convert to fraction form
    505.73/757.97 = 216.83/x
  3. Step 3: Cross multiply
    505.73x = 757.97 × 216.83
  4. Step 4: Simplify right side
    505.73x = 164,349.55
  5. Step 5: Solve for x
    x = 164,349.55/505.73
  6. Step 6: Final answer
    x = 324.97

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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.