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Finding the Fourth Proportional to 666.02, 998.43 and 232.98

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Solution

The fourth proportional to 666.02, 998.43 and 232.98 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.02 : 998.43 = 232.98 : x
  2. Step 2: Convert to fraction form
    666.02/998.43 = 232.98/x
  3. Step 3: Cross multiply
    666.02x = 998.43 × 232.98
  4. Step 4: Simplify right side
    666.02x = 232,614.22
  5. Step 5: Solve for x
    x = 232,614.22/666.02
  6. Step 6: Final answer
    x = 349.26

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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.