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Finding the Fourth Proportional to 662.24, 993.01 and 332.82

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Solution

The fourth proportional to 662.24, 993.01 and 332.82 is: 499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 993.01 = 332.82 : x
  2. Step 2: Convert to fraction form
    662.24/993.01 = 332.82/x
  3. Step 3: Cross multiply
    662.24x = 993.01 × 332.82
  4. Step 4: Simplify right side
    662.24x = 330,493.59
  5. Step 5: Solve for x
    x = 330,493.59/662.24
  6. Step 6: Final answer
    x = 499.05

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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.