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Finding the Fourth Proportional to 488.37, 733.01 and 199.83

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Solution

The fourth proportional to 488.37, 733.01 and 199.83 is: 299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.37 : 733.01 = 199.83 : x
  2. Step 2: Convert to fraction form
    488.37/733.01 = 199.83/x
  3. Step 3: Cross multiply
    488.37x = 733.01 × 199.83
  4. Step 4: Simplify right side
    488.37x = 146,477.39
  5. Step 5: Solve for x
    x = 146,477.39/488.37
  6. Step 6: Final answer
    x = 299.93

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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.