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Finding the Fourth Proportional to 662.16, 993.83 and 337.71

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Solution

The fourth proportional to 662.16, 993.83 and 337.71 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 993.83 = 337.71 : x
  2. Step 2: Convert to fraction form
    662.16/993.83 = 337.71/x
  3. Step 3: Cross multiply
    662.16x = 993.83 × 337.71
  4. Step 4: Simplify right side
    662.16x = 335,624.64
  5. Step 5: Solve for x
    x = 335,624.64/662.16
  6. Step 6: Final answer
    x = 506.86

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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.