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Finding the Fourth Proportional to 662.56, 993.80 and 230.02

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Solution

The fourth proportional to 662.56, 993.80 and 230.02 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.56 : 993.80 = 230.02 : x
  2. Step 2: Convert to fraction form
    662.56/993.80 = 230.02/x
  3. Step 3: Cross multiply
    662.56x = 993.80 × 230.02
  4. Step 4: Simplify right side
    662.56x = 228,593.88
  5. Step 5: Solve for x
    x = 228,593.88/662.56
  6. Step 6: Final answer
    x = 345.02

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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.