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Finding the Fourth Proportional to 488.96, 732.83 and 211.02

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Solution

The fourth proportional to 488.96, 732.83 and 211.02 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 732.83 = 211.02 : x
  2. Step 2: Convert to fraction form
    488.96/732.83 = 211.02/x
  3. Step 3: Cross multiply
    488.96x = 732.83 × 211.02
  4. Step 4: Simplify right side
    488.96x = 154,640.73
  5. Step 5: Solve for x
    x = 154,640.73/488.96
  6. Step 6: Final answer
    x = 316.27

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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.